Nonnegative solutions of two-point boundary value problems for nonlinear second order integrodifferential equations in Banach spaces. (1991)

• Record Type: Journal Article
• Authors: Guo, Dajun
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 4:Number 1(1991)
• Page Start: 47
• Page End: 69
• Publication Date: 1991
• Subjects: integrodifferential equation in Banach space -- measure of noncompactness -- strict set contraction -- fixed point index; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953391000035
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In this paper, we combine the fixed point theory, fixed point index theory and cone theory to investigate the nonnegative solutions of two-point BVP for nonlinear second order integrodifferential equations in Banach spaces. As application, we get some results for the third order case. Finally, we give several examples for both infinite and finite systems of ordinary nonlinear integrodifferential equations.