Quadratic functionals for second order matrix equations on time scales
Non-Linear Analysis
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 dynamic inclusions on time scales with nonlocal initial conditions
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
Existence of positive solutions to second-order time scale systems
Computers & Mathematics with Applications
Existence results for impulsive dynamic equations on time scales with nonlocal initial conditions
Mathematical and Computer Modelling: An International Journal
Positive solutions of singular p-Laplacian BVPs with sign changing nonlinearity on time scales
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Hi-index | 7.29 |
In this paper, we consider the following dynamical system on a measure chain: uΔΔ1(t) + f1(t, u1 (σ(t)), u2 (σ(t))) = 0, t ∈ [a, b], uΔΔ2(t) + f2(t, u1 (σ(t)), u2 (σ(t))) = 0, t ∈ [a, b], with the Sturm-Liouville boundary value conditions αui(a) - βuΔi(a) = 0, γui(σ(b)) + δuiΔ(σ(b)) = 0 for i = 1, 2. Some results are obtained for the existence of three positive solutions of the above problem by using Leggett-Williams fixed point theorem.