Sturm-Liouville eigenvalue problems on time scales
Applied Mathematics and Computation
Positive solutions for a nonlinear differential equation on a measure chain
Mathematical and Computer Modelling: An International Journal
Existence results for time scale boundary value problem
Journal of Computational and Applied Mathematics
Triple positive solutions for some second-order boundary value problem on a measure chain
Computers & Mathematics with Applications
Positive solutions for a class of boundary value problems on time scales
Computers & Mathematics with Applications
On the number of positive solutions of systems of nonlinear dynamic equations on time scales
Journal of Computational and Applied Mathematics
Positive solutions of singular differential equations on measure chains
Computers & Mathematics with Applications
Mathematical and Computer Modelling: An International Journal
Triple positive solutions for a class of m-point dynamic equations on time scales with p-Laplacian
Mathematical and Computer Modelling: An International Journal
Positive solutions of the singular semipositone boundary value problem on time scales
Mathematical and Computer Modelling: An International Journal
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We study the existence of eigenvalue intervals for the second-order differential equation on a measure chain, xΔΔ (t) + λp(t)f(xσ(t)) = 0, t ∈ [t1, t2], satisfying the boundary conditions αx(t1) - βxΔ(t1) = 0 and γx(σ(t2)) + δxΔ(σ(t2)) = 0, where f is a positive function and p a nonnegative function that is allowed to vanish on some subintervals of [t1, σ(t2)] of the measure chain. The methods involve applications of a fixed point theorem for operators on a cone in a Banach space.