Constant-sign solutions for a system of integral equations on time scales

Authors:
P. J. Y. Wong;Y. C. Soh
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2005

Citing 3
Cited 0

Nonlinear boundary value problems on time scales

Nonlinear Analysis: Theory, Methods & Applications
Twin solutions of boundary value problems for differential equations on measure chains

Journal of Computational and Applied Mathematics - Dynamic equations on time scales
Positive solutions for a nonlinear differential equation on a measure chain

Mathematical and Computer Modelling: An International Journal

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Abstract

We consider the following system of integral equations on a time scale T, u"i(t)=@!"a^@s^(^b^)g"i(t,s)f"i(s,u"1(s),u"2(s),...,u"n(s))@Ds,t@?[a,@s^L(b)]@?T,1@?i@?n. Using a nonlinear alternative of Leray-Schauder type and Krasnosel'skii's fixed-point theorem, we establish the existence of one or more constant-sign solutions of the system. The generality of the results obtained is illustrated through application to boundary value problems.