WebThis book is devoted to recent developments of linear and nonlinear integral inequalities on time scales. The book is intended for the use in the field of dynamic calculus on time scales, dynamic equation and integral equations on time scales. It is also suitable for graduate courses in the above fields. WebA Nonlinear Sturm-Picone Comparison Theorem for Dynamic Equations on Time Scales [J]. International Journal of Difference Equations . 2007 ,第1期 机译：时间尺度上动力方程的非线性Sturm-Picone比较定理

Dynamic equations on time scales: a survey

In this paper we present some functional analytic tools that allow us to prove a … Linear and nonlinear Hamiltonian systems are studied on time scales T. We unify … We consider a linear Hamiltonian Difference System for the so-called singular case … R. Agarwal, M. Bohner, Quadratic functionals for second order matrix … The concept of time scales has been introduced by Hilger [1] in order to unify … Discrete Sturm- Liouville difference equations of order two as well as linear … The theory of u 0-positive operators with respect to a cone in a Banach space is … But as we will show the calculus on measure chains will handle this case … 3. B. Kaymakqalan, Existence and comparison results for dynamic systems … In the first part inequalities for solutions of Riccati matrix difference equations are … WebApr 11, 2024 · In this review article, we conduct a survey of abstract analysis and applied dynamic equations on hybrid time scales, some recent main results and the related … css childdiv width break outside parent div

Time-scale calculus - Wikipedia

WebJan 20, 2004 · In [4], the authors considered the second order dynamic equation (p(t)x Δ (t)) Δ +q(t)x(σ(t))=0, t∈[a,b] and given necessary and sufficient condition for oscillation of all solution on unbounded time scales. Unfortunately, the oscillation criteria are unsatisfactory since additional assumptions have to be imposed on the unknown solutions. Webdynamic equations are differential equations when T = R and difference equations when T = Z. Other kinds of equations are covered by them as well, such as q-difference … Webdynamic equation are discussed on different time scales in [125]. In [456, 457] the solutions of a class of singularly perturbed hybrid linear delay dynamic equations are discussed. In [171] singular perturbation theory is used to decompose a hybrid system and the global bifurcations of the forced van der Pol equation are studied based on the ear exploder