A generalization of a lemma of bellman and its application to uniqueness problems of differential equations

I. Bihari

Type: Article

Publication Date: 1956-03-01

Citations: 563

DOI: https://doi.org/10.1007/bf02022967

View Publication

Locations

Acta Mathematica Academiae Scientiarum Hungaricae - View

Similar Works

Action	Title	Year	Authors
+	Uniqueness Theorems for a Differential Equation	1966	J. B. Garner
+	A generalization of the Gronwall-Bellman lemma and its applications	1973	László Losonczi
+	A Uniqueness Theorem for Ordinary Differential Equations.	1980	M. J. Norris R. D. Driver
+	A generalization of a formula of Bellman and Krein	1973	Michael A. Golberg
+	A uniqueness theorem and a counterexample for ordinary differential equations	2006	J. Warga
+	Generalization of an Existence Theorem for Variational Inequalities	2003	Zheng‐Hai Huang
+	A generalization of a Zygmund-Bernstein theorem	1943	Richard Bellman
+ PDF Chat	A generalization of a Zygmund-Bernstein theorem	1955	Jerzy Albrycht
+	A generalization of the Ascoli theorem and an application to functional differential equations	1971	Roger D. Nussbaum
+	A new version of Gronwall-Bellman Lemma and its applications to differential equations with delay	1997	Aleksander Nawrat
+	Elementary Uniqueness Theorems for Differential Equations	1961	D. A. Kearns
+	A generalization of Carathéodory's existence theorem for ordinary differential equations	1975	Jan Persson
+	Applications of an Abstract Existence Theorem to Both Differential and Difference Equations	1934	O. K. Bower
+	On a variant of monotonicity and its application to differential equations	1994	H. Gajewski
+	A theorem on difference equations and its generalization to operator equations	1970	David K. Cohoon Stefan Burr
+ PDF Chat	A Uniqueness Theorem for Ordinary Differential Equations Involving Smooth Functions	1953	L. Markus
+	An existence and uniqueness theorem for a nonlinear differential equation	1970	M. N. Manougian
+	A uniqueness theorem of a system of nonlinear equations and its applications	2015	Rong Liu
+	An existence and uniqueness theorem for a certain class of functional equations	1993	David Bulger Bruce van Brunt
+	A Nagumo-Type Uniqueness Criterion for a Differential Equation with Convolution	2024	Rui A. C. Ferreira

Works That Cite This (500)

Action	Title	Year	Authors
+	Asymptotic Behaviour Near a Nonlinear Sink	2010	Matt S. Calder David Siegel
+	Sparse recovery via differential inclusions	2016	Stanley Osher Feng Ruan Jiechao Xiong Yuan Yao Wotao Yin
+ PDF Chat	Existence and stability of solutions to non-Lipschitz stochastic differential equations driven by Lévy noise	2015	Yong Xu Bin Pei Guobin Guo
+	On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation	2015	A. Abdeldaim Ahmed A. El‐Deeb
+	Taylor approximation of the solution of age-dependent stochastic delay population equations with Ornstein-Uhlenbeck process and Poisson jumps	2020	Wenrui Li Qimin Zhang Meyer‐Baese Anke Ming Ye Yan Li
+	Exponential Stabilization of Discrete Nonlinear Time-Varying Systems	2020	Adam Czornik Е. К. Макаров Michał Niezabitowski Svetlana Popova V.A. Zaitsev
+ PDF Chat	Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics	2024	Marcelo M. Disconzi Yuanzhen Shao
+	Impulsive functional Differential Inclusions on Unbounded Domain	2020	Bahya Roummani Abdelghani Ouahab
+ PDF Chat	Global existence of solutions for perturbed differential equations	1995	Adrian Constantin
+	Asymptotic behavior of solutions to a quasilinear hyperbolic equation with nonlinear damping	1998	Mohammed Aassila

Works Cited by This (9)

Action	Title	Year	Authors
+	Ein neuer Existenzbeweis f�r die Integrale der Differentialgleichungy?=f(x,y)	1915	Oskar Perron
+	Über Ein- und Mehrdeutigkeit des Integrals eines Systems von Differentialgleichungen	1926	Oskar Perron
+	Sur une �quation diff�rentielle du premier ordre	1925	M. Lavrentieff
+ PDF Chat	Beweis der Existenz einer Lösung der Differentialgleichung $$\frac{{dy}}{{dx}} = f\left( {x,y} \right)$$ ohne Hinzunahme der Cauchy-Lipschitz'schen Bedingung	1898	William F. Osgood
+	Sur le th�or�me d'unicit� des solutions des �quations diff�rentielles ordinaires	1923	J. Tamarkine
+	The stability of solutions of linear differential equations	1943	Richard Bellman
+ PDF Chat	Sur une équation différentielle du premier ordre	1903	R. Liouville
+	Eine hinreichende Bedingung f�r die Unit�t der L�sung von Differentialgleichungen erster Ordnung	1928	Oskar Perron
+ PDF Chat	Eine hinreichende Bedingung für die Unität der Lösung von Differentialgleichungen erster Ordnung	1926	Mitio Nagumo