On the existence and uniqueness of solutions of boundary value problems for second order functional differential equations

Autor:	Evangelia S. Athanassiadou
Rok vydání:	2013
Předmět:	Nonlinear system Differential equation Banach fixed-point theorem Fréchet derivative Applied mathematics Uniqueness Delay differential equation Boundary value problem Integral equation Mathematics
Zdroj:	Mathematica Moravica. 17:51-57
ISSN:	2560-5542 1450-5932
Popis:	In this paper we study existence and uniqueness of solutions of boundary value problems for second order nonlinear delay differential equations. We transform the boundary value problem to an equivalent integral equation and then we use the Banach fixed point theorem and the notion of the Frechet derivative.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f3f97883dcac84e60adf27cf1e4ea5f3 https://doi.org/10.5937/matmor1301051a Zobrazit plný text záznamu