Eigenvalue Problems for Nonlinear Differential Equations on a Measure Chain
By C. Chyan, J. Henderson. 2000
82 citations recorded by the source corpus.
Abstract Values of λ are determined for which there exist positive solutions of the second order differential equation on a measure chain, uΔΔ(t) + λa(t)f(u(σ(t))) = 0, t ∈ [0, 1], satisfying either the conjugate boundary conditions u(0) = u(σ(1)) = 0 or the right focal boundary conditions u(0) = uΔ(σ(1)) = 0, where a and f are positive valued, and both lim x → 0 + f ( x ) x and lim x → ∞ f ( x ) x exist.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/f79ef978c70167a6207f0736e2643a1d84cac82c
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In Applied Mathematics
- J. Henderson
- Mouffak Benchohra
- Sotiris K. Ntouyas
- Jinrong Wang
- Gabriele Bonanno
- Zhimin He
- Man Kam Kwong
In Computational Theory and Mathematics
In Control and Systems Engineering
Citations in the corpus
- Existence of three positive solutions to a second-order boundary value problem on a measure chain (2002, unknown): “PII: S 0377-0427(01)00436-8 There has been some natural merging of methods in seeking positive solutions of boundary value problems for di=erential equations on measure chains; see Chyan and Henderson [10,11], Henderson [23], and Erbe and Peterson [17–19].”
- Double Solutions of Impulsive Dynamic Boundary Value Problems on a Time Scale (2002, background): “Included in this activity are studies on time scale calculus [1,4,28] as well as numerous works concerning dynamic equations on time scales [13,14,16,20,21].”