Nonzero solutions to a two-point boundary-value periodic problem for differential equations with maxima

Autor:	M. T. Terekhin, V. V. Kiryushkin
Rok vydání:	2010
Předmět:	Equilibrium point Nonlinear system Matrix differential equation Partial differential equation Differential equation General Mathematics Mathematical analysis Initial value problem Universal differential equation Hyperbolic partial differential equation Mathematics
Zdroj:	Russian Mathematics. 54:43-53
ISSN:	1934-810X 1066-369X
Popis:	We prove a theorem on the unique existence of a solution to a nonlinear equation with maxima and demonstrate its continuous dependence on the initial function and the parameter of the problem. We also establish conditions for the existence of a nonzero solution to a two-point boundary-value periodic problem in dependence of both linear and nonlinear terms of the equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::32e9549494cb260c34bf2baf77b34842 https://doi.org/10.3103/s1066369x1006006x Zobrazit plný text záznamu Full text from SpringerLink