Positive solutions and eigenvalues of nonlocal boundary-value problems
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Date
2005-07-27
Authors
Chu, Jifeng
Zhou, Zhongcheng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We study the ordinary differential equation x'' + λα(t)ƒ(x) = 0 with the boundary conditions x(0) = 0 and x'(1) = ∫¹η x'(s)dg(s). We characterize values of λ for which boundary-value problem has a positive solution. Also we find appropriate intervals for λ so that there are two positive solutions.
Description
Keywords
Nonlocal boundary-value problems, Positive solutions, Eigenvalues, Fixed point theorem in cones
Citation
Chu, J., & Zhou, Z. (2005). Positive solutions and eigenvalues of nonlocal boundary-value problems. <i>Electronic Journal of Differential Equations, 2005</i>(86), pp. 1-9.
Rights
Attribution 4.0 International