Mathematics Applied Mathematics

Differential Equations and Boundary Problems

Description

This cluster of papers focuses on the study of nonlocal partial differential equations and boundary value problems, including topics such as solvability, numerical solutions, inverse problems, and the behavior of hyperbolic and parabolic equations with nonlocal conditions. The research also delves into the analysis of integro-differential equations and the properties of Green functions.

Keywords

Nonlocal; Partial Differential Equations; Boundary Value Problems; Inverse Problem; Solvability; Numerical Solution; Hyperbolic Equations; Parabolic Equations; Integro-Differential Equations; Green Function

Most Cited Works

Action Title Date Authors
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Elliptic Partial Differential Equations of Second Order 1997-01-01 Piero Bassanini Alan R. Elcrat
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Monotone Operators in Banach Space and Nonlinear Partial Differential Equations 2013-02-22 R. E. Showalter
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Functional Analysis and Semi-groups 1996-02-06 Einar Hille Robert A. Phillips
Numerical Methods for Two-Point Boundary Value Problems 2019-08-29 Herbert B. Keller
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On Elliptic Partial Differential Equations 2011-01-01 Louis Nirenberg
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Semigroups of Linear Operators and Applications to Partial Differential Equations 1983-01-01 A. Pazy
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Composition Operators on Spaces of Analytic Functions 2019-03-04 Carl C. Cowen Barbara D. MacCluer
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Stability of Solutions of Differential Equations in Banach Space 2002-03-15 Ju. Daleckiĭ M. Г. Крейн
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Methods for Solving Incorrectly Posed Problems 1984-01-01 Vladimir A. Morozov
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Multiple Integrals in the Calculus of Variations 1966-01-01 Charles B. Morrey
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Singular Integral Equations 1977-01-01 N. I. Muskhelishvili
Weighted norm inequalities for the Hardy maximal function 1972-01-01 Benjamin Muckenhoupt
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Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations 1977-09-01 Robert S. Strichartz
Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes 1952-06-01 T. W. Anderson D. A. Darling
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Regularity for a more general class of quasilinear elliptic equations 1984-01-01 Peter Tolksdorf
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Rapid solution of integral equations of classical potential theory 1985-09-01 Vladimir Rokhlin
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Linear and quasilinear elliptic equations 1968-01-01 O. A. Ladyzhenskai︠a︡ N. N. Uraltseva
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Some methods of speeding up the convergence of iteration methods 1964-01-01 B. T. Polyak
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On functions of bounded mean oscillation 1961-08-01 Franklin John Louis Nirenberg
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Logarithmic Potentials with External Fields 1997-01-01 Edward B. Saff Вилмос Тотик
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A class of nonharmonic Fourier series 1952-01-01 R. J. Duffin A. C. Schaeffer
Existence of solitary waves in higher dimensions 1977-06-01 Walter A. Strauss
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Ordinary differential equations, transport theory and Sobolev spaces 1989-10-01 Ronald J. DiPerna Pierre Louis Lions
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Linear and Quasi-linear Equations of Parabolic Type 1968-12-31 O. Ladyženskaja V. A. Solonnikov N. Ural’ceva
Compact sets in the spaceL p (O,T; B) 1986-12-01 Jacques Simon
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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I 1959-11-01 Shmuel Agmon Avron Douglis Louis Nirenberg
On the solutions of quasi-linear elliptic partial differential equations 1938-01-01 Charles B. Morrey
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Lectures on entire functions 1996-07-23 B. Yu. Levin
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An iteration method for the solution of the eigenvalue problem of linear differential and integral operators 1950-10-01 Cornelius Lanczos
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MACHINE CONTOURING USING MINIMUM CURVATURE 1974-02-01 Ian Briggs
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Numerical Initial Value Problems in Ordinary Differential Equations 1973-07-01 E. I. C. W. Gear
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Introduction to Complex Analysis in Several Variables 2005-01-01 Volker Scheidemann
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The Index of Elliptic Operators: I 1968-05-01 Michael Atiyah I. M. Singer
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Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations 1996-12-31 Thomas Runst Winfried Sickel
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Continuity of Solutions of Parabolic and Elliptic Equations 1958-10-01 John C. Nash
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Difference Methods for Initial-Value Problems 1968-04-01 E. I. Robert D. Richtmyer K. W. Morton
Numerical Initial Value Problems in Ordinary Differential Equations 1972-05-01 James Watt
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The Analysis of Linear Partial Differential Operators III 2007-01-01 Lars Hörmander
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On a quasi-linear parabolic equation occurring in aerodynamics 1951-10-01 Julian D. Cole
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A Treatise on the Theory of Bessel Functions 1944-12-01 H. T. Davis G. N. Watson
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Approximation of Functions of Several Variables and Imbedding Theorems 1975-01-01 Sergei Mihailovic Nikol’skii
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Finite difference methods for numerical computation of discontinous solutions of the equations of fluid dynamics 1959-01-01 С. К. Годунов
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<i>Difference Methods for Initial-Value Problems</i> 1959-04-01 Robert D. Richtmyer E. H. Dill
Introduction to the Theory of Fourier Integrals 1938-01-01 A. C. Offord
Linear and Quasilinear Parabolic Problems 1995-01-01 Herbert Amann
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Stability Theory by Liapunov’s Direct Method 1977-01-01 N. Rouche Patrick Habets M. Laloy
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Differential equations with discontinuous right-hand side 1964-01-01 A. F. Filippov
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The Analysis of Linear Partial Differential Operators I 2003-01-01 Lars Hörmander
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Differential Equations with Discontinuous Righthand Sides 1988-01-01 Alexander Filippov
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Linear Differential Equations in Banach Space 2011-07-14 S. G. Kreĭn

Most Recent Works

Action Title Date Authors
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On a nonlinear partial differential equation with a $$p\left( .\right) $$-triharmonic operator 2025-04-30 İsmail Aydın Khaled Kefi
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Stability Analysis of Higher-Order Linear Differential Equations Using the Fourier Transform With Applications 2025-04-30 M. Sivashankar S. Sabarinathan Salah Boulaaras Mohamed Abdalla Taha Radwan
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POSITIVE SOLUTIONS OF DISCRETE FRACTIONAL STURM–LIOUVILLE PROBLEMS 2025-05-01 Jagan Mohan Jonnalagadda Anita Tomar
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Ground state solution for a generalized Choquard Schr$$\ddot{\text {o}}$$dinger equation with vanishing potential in homogeneous fractional Musielak Sobolev spaces 2025-05-01 Shilpa Gupta Gaurav Dwivedi
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Dual Approach to the Generalization of Extended Bessel Function 2025-05-01 Syed Ali Haider Shah Hafsa Ahmad Aloqaily Gauhar Rahman Yasser Elmasry Salma Haque Nabil Mlaiki
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On Qualitative Properties of \(L_\Theta\)-Solutions for Coupled Systems of Hadamard-Type Fractional Integral Equations in Banach Spaces 2025-05-01 Mohamed M. A. Metwali Shami A. M. Alsallami
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Solving Systems of Monotone Variational Inclusion Problems with Multiple Output Sets in Banach Spaces 2025-05-01 Hammed Anuoluwapo Abass Maggie Aphane Olawale Kazeem Oyewole Ojen Kumar Narain K. I. Mustafoyev
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Fekete–Szeg˝o Inequalities for a New Class of Bi-Univalent Functions Defined via the Mittag-Leffler Function 2025-05-01 Mohammad Al-Ityan Ala Amourah Abdullah Alsoboh Nidal Anakira Mohammad Bani Raba’a Suha Hammad Tala H. Sasa
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Fekete-Szeg¨o Inequalities for a New Class of Bi-Univalent Functions Defined via the Mittag-Leffler Function 2025-05-01 Ala Amourah Mohammad Al-Ityan Abdullah Alsoboh Mohammad Bani Raba'a Suha Hammad
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Inverse Boundary Value Problem for Fourth-Order Pseudo-Hyperbolic Equation with Nonlocal Integral Conditions of the Second Kind 2025-05-01 Mehreliyev Yashar Anar Mammedov
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Solution of the Boussinesq Problem in a Depth‐Dependent Nonhomogeneous Half‐Space 2025-05-01 Mukhlis Hajiyev Sayidmaxsud Razzakov Ulviye Hajiyeva Mukhlis kizi
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Szegő quadrature formulas associated with the weight function $$1+\cos (m\theta )$$ with application to the approximation of certain Christoffel transformations on the interval 2025-05-01 Ruymán Cruz‐Barroso Michael Díaz-Bautista
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New endpoint estimates for commutators of multilinear operators 2025-05-01 Yichun Zhao Songbai Wang Jiang Zhou
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Solvability of Semilinear Operator Equations with Growing Nonlinearity Using Fractional Tikhonov regularization 2025-05-03 Ravinder Katta N. Sukavanam
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Infinitely many solutions for a class of fractional equations via variant fountain theorems 2025-04-30 Abdelilah Azghay Mohammed Massar Abderrahim El Mhouti
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Numerical solution of fractional order Bagley-Torvik equation via Hermite wavelet method 2025-05-02 Muhammad Yousaf Aman Ullah Salman Zeb Umar Farooq Kamal Shah
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An adaptive scheme based on the cubic B-Spline collocation technique for time-fractional singular parabolic problems with semilinearity 2025-05-02 Bappa Ghosh Jugal Mohapatra
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Existence of a positive solution for a second order Sturm-Liouville boundary value problem on the half-line with a nonlinear derivative dependence via variational methods 2025-04-30 Aicha Bouzehhar Sihem Boumaraf Toufik Moussaoui
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A Single and Multi‐Valued Problems Involving Mixed (k1,η)$$ \left({k}_1,\eta \right) $$‐Hilfer and (k2,ϕ)$$ \left({k}_2,\phi \right) $$‐Hilfer Fractional Derivatives for the Fractional Navier Problem 2025-05-02 Mohammed Kouidri Brahim Tellab Abdelkader Amara Khaled Zennir Said Zibar
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On Analysis of Single Solution for a Class of BVP with Generalized Caputo-Katugampola Fractional Derivative 2025-05-01 Nabil Mlaiki Zouaoui Bekri Vedat Suat Ertürk Mohammad Esmael Samei Salma Haque
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On the Dirichlet problem for generalized Cauchy-Riemann equations 2025-04-30 Vladimir Gutlyanskiĭ Vladimir Ryazanov Atakan Salimov Ruslan Salimov
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Existence and multiplicity of solutions for subquadratic fractional Hamiltonian systems 2025-05-03 Mohsen Timoumi
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Smooth local solutions to the degenerate hyperbolic Gauss–Codazzi system 2025-05-04 Yanbo Hu Houbin Guo Xiaolong Qin
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Efficient Numerical Quadrature for Highly Oscillatory Integrals with Bessel Function Kernels 2025-05-03 Guo He Yuying Liu
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Essential Norm of Products of Volterra-Type Operators and Composition Operators on Iterated Banach-Type Spaces 2025-05-04 Rabab Alyusof Shams Alyusof Nacir Hmidouch
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Inverse coefficient problem for wave equation with the generalized Riemann–Liouville time-derivative 2025-05-04 D. K. Durdiev H. H. Turdiev
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Mixed local and nonlocal eigenvalue problems in the exterior domain 2025-05-05 R. Lakshmi Sekhar Ghosh
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Poincaré-Perron problem for half-linear ordinary differential equations 2025-05-05 Naito Manabu Hiroyuki Usami
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Analyticity in space-time of solutions to evolution equations with multilinear operators based on maximal regularity 2025-05-05 K. Noda
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Existence and asymptotical behavior of solutions for a fractional logarithmic Schrödinger-Poisson system 2025-05-05 Jiaqi Dou Qi Gao Zhengping Wang
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ONCE AGAIN ABOUT WEAK UNIQUENESS FOR SDE WITH SINGULAR COEFFICIENTS 2025-05-05 Н. В. Крылов
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Higher-Order Differential Correction Schemes for the Two-Point Boundary Value Problem 2025-05-06 Sharad Sharan Puneet Singla Roshan T. Eapen Robert G. Melton
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A Certain Class of Function Analytic and Subordinate to the Modified Sigmoid Function 2025-05-06 Ezugorie Obiageri M. Z. Ishiaku Fadipe-Joseph Olubunmi A.
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Discrete Grönwall inequalities for demimartingales 2025-05-06 Milto Hadjikyriakou Б. Л. С. Пракаса Рао
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Self-Similar Algebraic Spiral Solution of 2-D Incompressible Euler Equations 2025-05-06 Feng Shao Dongyi Wei Zhifei Zhang
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Some remarks on a dispersal integral operator 2025-05-06 Francisco Júlio S. A. Corrêa Natan de Assis Lima
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Modeling and analysis of the dynamics of an excessive gambling problem with modified fractional operator 2025-05-05 Mulualem Aychluh D. L. Suthar Clemente Cesarano Sunıl Dutt Purohıt
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Qualitative analysis for k-fractional integral boundary value problems of quasilinear equation with p-Laplacian operator 2025-05-07 Bo Zhang Xiaohui Shen Tengfei Shen
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THE MINTY-BROWDER THEORY FOR P(X)-LAPLACIAN EQUATIONS WITH PSEUDO-MONOTONE OPERATOR 2025-05-01 Mykola Yaremenko
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Spectral Analysis of the Neumann–Poincaré Operator for Thin Doubly Connected Domains 2025-05-07 Doosung Choi Mikyoung Lim Stephen P. Shipman
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On Certain New Subclass of Janowski Harmonic Univalent Functions Defined Using Subordination 2025-05-07 Rajendran Srinivasan Saurabh Porwal R. Ezhilarasi T. V. Sudharsan
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Existence of multiple weak solutions for a class of fractional boundary value problems with Laplace operator 2025-05-08 Pu Wang
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An inverse problem for the fractionally damped wave equation 2025-05-08 Li Li Yang Zhang
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The wave kernel on asymptotically complex hyperbolic manifolds 2025-05-08 Hadrian Quan
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Розв'язність лінійних крайових задач для звичайних диференціальних систем у просторі $C^{n}$ 2025-05-07 Віталій Солдатов
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A Class of Symmetric Harmonic Functions Involving a Specific q-Difference Symmetric Operator 2025-05-08 Loriana Andrei Vasile-Aurel Caus
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Some Fast Summations of Fourier Series and Properties of Their Dirichlet-Type Kernels 2025-05-09 Anry Nersessian
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On widely degenerate p-Laplace equations with symmetric data 2025-05-09 Stefania Russo
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Solutions behavior of mechanical oscillator equations with impulsive effects under Power Caputo fractional operator and its symmetric cases 2025-05-09 Hicham Saber Mohammed A. ‬Almalahi Mohamed Bouye Khaled Aldwoah Abdelkader Moumen Blgys Muflh
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Stability and Lorentzian geometry for an inverse problem of a semilinear wave equation 2025-05-10 Matti Lassas Tony Liimatainen Leyter Potenciano‐Machado Teemu Tyni