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The solvability of a nonlocal boundary value problem

In: Mathematica Slovaca, vol. 65, no. 5
Katarzyna Szymańska-Dȩbowska

Details:

Year, pages: 2015, 1027 - 1034
Keywords:
nonlocal boundary value problem, boundary value problem at resonance, the perturbation method
About article:
In this paper we consider the following boundary value problem

$$ (p(t)x')'=f(t,x,x'), x(0)=0, x'(1)=\int01x'(s) dg(s), $$

where $f:[0,1]×\mathbb{R}k×\mathbb{R}k \to\mathbb{R}k$ and the integral is meant in the sense of Riemann-Stieltjes. We give conditions for the existence of a solution for this boundary value problem using the properties of the Leray-Schauder topological degree. Our result extends some results in the references.
How to cite:
ISO 690:
Szymańska-Dȩbowska, K. 2015. The solvability of a nonlocal boundary value problem. In Mathematica Slovaca, vol. 65, no.5, pp. 1027-1034. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0070

APA:
Szymańska-Dȩbowska, K. (2015). The solvability of a nonlocal boundary value problem. Mathematica Slovaca, 65(5), 1027-1034. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0070
About edition:
Published: 1. 10. 2015