[PDF] Top 20 Properties of some nonlinear partial dynamic equations on time scales

... In this paper we study the existence, uniqueness and other properties of the solutions of (1.1)-(1.2) under some suitable conditions on the functions involved in (1.1)-(1.2). The main tool employed is based ... See full document

... stability properties of wide variety of ordinary, functional and partial ...differential equations with delay has encountered serious difficulties if the delay is unbounded or if the equation has ... See full document

... differential equations are generalizations of classical differential equations of integer order, and are wide- ly used in various domains including engineering, physics, biology, signal processing, systems ... See full document

... for dynamic equations on time scales, which offers a unification of discrete and continuous systems, is a recently developed ...on time scales that is an important tool used in ... See full document

... the nonlinear problems on R (the set of real ...the nonlinear boundary value problems [], the nonlinear heat diffusion equations [] and the nonlin- ear reaction-diffusion equations ... See full document

... The paper is organized as follows: In Section 2, we apply a simple consequence of Keller’s chain rule, devoted to the proof of the sufficient conditions which ensure that every solution of (1.2) is either oscillatory or ... See full document

... Saker, “Oscillation of second-order forced nonlinear dynamic equations on time scales,” Electronic Journal of Qualitative Theory of Differential Equations, no.. Ridenhour, “Hamiltonian sy[r] ... See full document

... On the Oscillation of Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales Quanxin Zhang, Xia Song, Li Gao Department of Mathematics, Binzhou University, Shandong, China[r] ... See full document

... paper, some results of single and multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales ... See full document

... of time scales was introduced by Hilger [1] in order to unify, extend and generalize ideas from discrete calculus, quantum calculus and continuous calculus to arbitrary time scale ...of time ... See full document

... establishes some new oscillation criteria for the second-order nonlinear delay dynamic equations on time ...second-order nonlinear delay differential equation and the ... See full document

... S.enel, Oscillation theorems for the second order damped nonlinear dynamic equation on time scales, Contemp. Zhang, Oscillation of second-order half-linear delay dynamic equations with d[r] ... See full document

... A time scale T is an arbitrary nonempty closed subset of the real ...of time scales. On a time scale T, the forward jump operator, the backward jump operator, and the graininess function are ... See full document

... Saker, Asymptotic Behavior of Solutions of a Third-Order Non-linear Dynamic Equation on Time Scales, Journal of Computational and Applied Mathematics 181, (2005) 92-102. Thandapani, O[r] ... See full document

... on time scales  , where α ≥ 1 is a quotient of odd positive ...of equations is oscillatory or converges to ...complement some known results in the ... See full document

... in some neighborhood of infinity will be excluded from our ...of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [] in order to unify ... See full document

... of time scales in his ...on time scales. We remark that some researchers have studied the existence of nonoscillatory solutions of several kinds of nonlinear dynamic ... See full document

... paper, some results of one and two positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are ... See full document

... of time scales [1], which is used as a theory capable to contain both difference and differential calculus in a consistent ...of dynamic equa- tions on time ...on time scales ... See full document

... functional dynamic equation on time ...and nonlinear Volterra integro-dynamic equations on time scales by displaying suitable Lyapunov ... See full document