Forced oscillation of second-order nonlinear dynamic equations on time scales.
Forced oscillation of third order nonlinear dynamic equations on time scales
Consider the third order nonlinear dynamic equation , (*) on a time scale which is unbounded above. The function f ∈ C(,) is assumed to satisfy xf(x) > 0 for x ≠ 0 and be nondecreasing. We study the oscillatory behaviour of solutions of (*). As an application, we find that the nonlinear difference equation , where α ≥ -1, γ > 0, c > 3, is oscillatory.
Global exponential stability of delayed Cohen-Grossberg BAM neural networks with impulses on time scales.
Global stability of polytopic linear time-varying dynamic systems under time-varying point delays and impulsive controls.
Green's function and positive solutions of a singular th-order three-point boundary value problem on time scales.
Hille-Kneser-type criteria for second-order dynamic equations on time scales.
Impulsive dynamic equations on a time scale.
Impulsive periodic boundary value problems for dynamic equations on time scale.
Inequalities among eigenvalues of second-order symmetric equations on time scales.
Integro-differential equations on time scales with Henstock-Kurzweil delta integrals
In this paper we prove existence theorems for integro - differential equations , t ∈ Iₐ = [0,a] ∩ T, a ∈ R₊, x(0) = x₀ where T denotes a time scale (nonempty closed subset of real numbers R), Iₐ is a time scale interval. Functions f,k are Carathéodory functions with values in a Banach space E and the integral is taken in the sense of Henstock-Kurzweil delta integral, which generalizes the Henstock-Kurzweil integral. Additionally, functions f and k satisfy some boundary conditions and conditions...
Integrodifferential equations on time scales with Henstock-Kurzweil-Pettis delta integrals.
Linear impulsive dynamic systems on time scales.
Lyapunov stability of quasilinear implicit dynamic equations on time scales.
Monotone iterative technique for first-order nonlinear periodic boundary value problems on time scales.
Multiple positive solutions for a class of -point boundary value problems on time scales.
Multiple positive solutions for -point boundary value problem on time scales.
Multiple positive solutions for nonlinear first-order impulsive dynamic equations on time scales with parameter.
Multiple positive solutions for second-order -Laplacian dynamic equations with integral boundary conditions.
Multiple positive solutions for the system of higher order two-point boundary value problems on time scales.
Multiple positive solutions of nonlinear singular -point boundary value problem for second-order dynamic equations with sign changing coefficients on time scales.