On nonresonance problems of second-order difference systems.
Ma, Ruyun, Luo, Hua, Gao, Chenghua (2008)
Advances in Difference Equations [electronic only]
Relja Vulanović (1990)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Bedřich Půža (1989)
Commentationes Mathematicae Universitatis Carolinae
Nguyen Anh Tuan (1994)
Commentationes Mathematicae Universitatis Carolinae
New sufficient conditions of the existence and uniqueness of the solution of a boundary problem for an ordinary differential equation of -th order with certain functional boundary conditions are constructed by the method of a priori estimates.
Ronto, Miklos, Shchobak, Natalya (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Huseyin Bereketoglu, Aydin Huseynov (2006)
Czechoslovak Mathematical Journal
In this paper we study nonlinear second order differential equations subject to separated linear boundary conditions and to linear impulse conditions. Sign properties of an associated Green’s function are investigated and existence results for positive solutions of the nonlinear boundary value problem with impulse are established. Upper and lower bounds for positive solutions are also given.
Svatoslav Staněk (1995)
Annales Polonici Mathematici
The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Pavol Quittner (1989)
Commentationes Mathematicae Universitatis Carolinae
Paolo Acquistapace, Brunello Terreni (1988)
Mathematische Annalen
Benchohra, M., Ntouyas, S.K. (2000)
Acta Mathematica Universitatis Comenianae. New Series
Gao, Haiyin, Weng, Shiyou, Jiang, Daqing, Hou, Xuezhang (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Cecchi, Mariella, Došlá, Zuzana, Marini, Mauro (2010)
Boundary Value Problems [electronic only]
B. L. Shekhter (1983)
Archivum Mathematicum
Mariusz Jurkiewicz (2009)
Annales Polonici Mathematici
We consider a Lidstone boundary value problem in at resonance. We prove the existence of a solution under the assumption that the nonlinear part is a Carathéodory map and conditions similar to those of Landesman-Lazer are satisfied.
Bai, Zhanbing (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Heikkilä, S., Kumpulainen, M., Lakshmikantham, V. (1992)
Journal of Applied Mathematics and Stochastic Analysis
Staněk, Svatoslav (2002)
Archivum Mathematicum
We consider boundary value problems for second order differential equations of the form with the boundary conditions , , where are continuous functions, satisfies the local Carathéodory conditions and are continuous and nondecreasing functionals. Existence results are proved by the method of lower and upper functions and applying the degree theory for -condensing operators.
Kvinikadze, George (1998)
Memoirs on Differential Equations and Mathematical Physics
Michal Čverčko (1975)
Časopis pro pěstování matematiky
Ján Andres (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica