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Solvability for system of nonlinear singular differential equations with integral boundary conditions.

Solvability for system of nonlinear singular differential equations with integral boundary conditions.

Authors :
Yaohong Li
Haiyan Zhang
Source :
Boundary Value Problems. Sep2014, Vol. 2014, p1-12. 12p.
Publication Year :
2014

Abstract

By using the Banach contraction principle and the Leggett-Williams fixed point theorem, this paper investigates the uniqueness and existence of at least three positive solutions for a system of mixed higher-order nonlinear singular differential equations with integral boundary conditions: *** where the nonlinear terms fi, gi satisfy some growth conditions, ßi[.] are linear functionals given by ßi[w] = ***, involving Stieltjes integrals with positive measures, and i = 1, 2. We give an example to illustrate our result. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16872762
Volume :
2014
Database :
Academic Search Index
Journal :
Boundary Value Problems
Publication Type :
Academic Journal
Accession number :
102109134
Full Text :
https://doi.org/10.1186/s13661-014-0158-7