Nonresonance Conditions on the Potential for a Second-Order Periodic Boundary Value Problem

Pierpaolo Omari, Fabio Zanolin

Type: Article

Publication Date: 1993-01-01

Citations: 4

DOI: https://doi.org/10.2307/2159707

Abstract

We consider the periodic problemand prove its solvability for any given h, under new assumptions on the asymptotic behaviour of the potential of the nonlinearity /, with respect to two consecutive eigenvalues of the associated linear problem.

Locations

Proceedings of the American Mathematical Society - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Nonresonance conditions on the potential for a second-order periodic boundary value problem	1993	Pierpaolo Omari Fabio Zanolin
+	On solvability of periodic boundary value problems for second order linear functional differential equations	2016	Eugene Bravyi
+	NONRESONANCE BELOW THE SECOND EIGENVALUE FOR A NONLINEAR ELLIPTIC PROBLEM	2003	Mimoun Moussaoui
+	Periodic Boundary Value Problems: Second Order Systems	1997	Ravi P. Agarwal Patricia J. Y. Wong
+	On a periodic boundary value problem for second-order linear functional differential equations	2005	Sulkhan Mukhigulashvili
+ PDF Chat	Periodic Problem with a Potential Landesman Lazer Condition	2010	Petr Tomiczek
+ PDF Chat	On unimprovable conditions of the solvability of the periodic problem for second order functional differential equations	2013	E. Bravyi
+ PDF Chat	Boundary and periodic value problems for systems of nonlinear second order differential equations	1993	Marlène Frigon
+	Periodic Boundary Value Problems for Second Order Functional Differential Equations	2004	Zhongli Wei Changci Pang
+	Periodic boundary value problems for second order differential equations	1990	Irena Rachůnková
+ PDF Chat	Periodic Boundary Value Problems for Second Order Differential Equations	2009	Shihuang Hong
+	Positive solutions of nonlinear second-order periodic boundary value problems	2006	Qingliu Yao
+	On a class of second-order anti-periodic boundary value problems	1992	A.R. Aftabizadeh Sergiu Aizicovici Nicolae H. Pavel
+	Solutions of a second-order Hamiltonian system with periodic boundary conditions	2010	Xianhua Tang Qiong Meng
+	Resonant nonlinear periodic problems with the scalar $p$-Laplacian and a nonsmooth potential	2006	Sergiu Aizicovici Nikolaos S. Papageorgiou Vasile Staicu
+ PDF Chat	On the solvability of the periodic boundary value problem for a linear functional differential equation	2009	E. Bravyi
+	Solvability of the periodic problem for higher-order linear functional differential equations	2015	Eugene Bravyi
+	Nonlinear periodic boundary value problem for a second order ordinary differential equation	1998	Stanisław Sȩdziwy
+	A periodic problem for first order differential equations with locally coercive nonlinearities	2017	Elisa Sovrano Fabio Zanolin
+	Periodic boundary value problems for systems of second order differential equations	1973	J. Bebernes Klaus Schmitt

Works That Cite This (4)

Action	Title	Year	Authors
+ PDF Chat	Nonresonance Conditions on the Potential with Respect to the Fučik Spectrum for the Periodic Boundary Value Problem	1995	Patrick Habets Pierpaolo Omari Fabio Zanolin
+ PDF Chat	SOLUTIONS FOR DOUBLY RESONANT NONLINEAR NON-SMOOTH PERIODIC PROBLEMS	2005	Sophia Th. Kyritsi Nikolaos S. Papageorgiou
+ PDF Chat	A continuation lemma and the existence of periodic solutions of perturbed planar Hamiltonian systems with sub-quadratic potentials	2018	Zaihong Wang Tiantian Ma
+ PDF Chat	Existence principles for second order nonresonant boundary value problems	1994	Donal O’Regan

Works Cited by This (10)

Action	Title	Year	Authors
+	Conditions de non-résonance pour certains problèmes elliptiques semi linéaires	1986	Jean–Pierre Gossez D. De Figueiredo
+ PDF Chat	Remarks on resonance problems with unbounded perturbations	1993	Maria Da Piedade Machado Ramos
+ PDF Chat	Critical points of convex perturbations of some indefinite quadratic forms and semi-linear boundary value problems at resonance	1986	Jean Mawhin Michel Willem
+	Nonresonance with respect to the Fuc̆ik spectrum for periodic solutions of second order ordinary differential equations	1990	Jean–Pierre Gossez Pierpaolo Omari
+ PDF Chat	Periodic solutions of nonlinear differential equations with double resonance	1990	C. Fabry Alessandro Fonda
+	Existence and Multiplicity Results for Periodic Solutions of Semilinear Duffing Equations	1993	Tao Ding R. Iannacci Fabio Zanolin
+	A note on nonlinear oscillations at resonance	1987	Pierpaolo Omari Fabio Zanolin
+	Time-maps for the solvability of periodically perturbed nonlinear duffing equations	1991	Tongren Ding Fabio Zanolin
+	Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance	1991	Jean–Pierre Gossez Pierpaolo Omari
+	NONLINEAR OSCILLATIONS AT A POINT OF RESONANCE	1982	Ongren Peking