๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence and uniqueness of solutions of -point nonlocal boundary value problems for ordinary differential equations

โœ Scribed by Johnny Henderson

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
253 KB
Volume
74
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

โœฆ Synopsis

Sufficient conditions are given under which the existence of solutions of 4-point nonlocal boundary value problems, for nth order nonlinear ordinary differential equations, yields the existence of unique solutions of (k + 2)-point boundary value problems, for 1 โ‰ค k โ‰ค n -1. The results are motivated by a Henderson and Jackson paper involving relationships between 2-point and n-point conjugate boundary value problems.

๐Ÿ“œ SIMILAR VOLUMES

Existence and uniqueness of solutions fo
Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
โœ Mujeeb ur Rehman; Rahmat Ali Khan ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 283 KB

In this work, we investigate existence and uniqueness of solutions for a class of nonlinear multi-point boundary value problems for fractional differential equations. Our analysis relies on the Schauder fixed point theorem and the Banach contraction principle.