[PDF] Top 20 EXISTENCE AND EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR SECOND-ORDER DYNAMIC EQUATIONS

... Difference equations are defined on discrete sets while differential equations are defined on an interval of the set of real ...However, dynamic equations on time scales are very important in ... See full document

... have become the assumptions in the searching for positive solutions of singular second-order equations and systems; see for instance Chu and Torres 2, Chu et al. 3, Franco and Torres 4, ... See full document

... at u = 0, see [7-20]. The first existence result with weak force condition appears in Rachunková et al. [16]. Since then, the Equation (1.3) with f has weak singularities has been studied by several authors, see ... See full document

... differential equations has been a significant development in the last two ...decades. Periodic solutions and periodic boundary value problems of impulsive differential equations have ... See full document

... almost periodic for stochastic processes, which generalizes in a natural fashion the concept of piecewise almost periodic and p-mean almost periodic stochastic ...the existence and ... See full document

... the existence and asymptotic stability of positive solutions for () are ...the positive solutions of the following periodic boundary value problem ... See full document

... the existence of positive solutions for second-order differential equations subject to nonlinear impulsive conditions and non-separated periodic boundary value ...the ... See full document

... difference equations has been widely used to study discrete mod- els appearing in many fields such as computer science, economics, neural network, ecol- ogy, and cybernetics; see, for example, ...the ... See full document

... the equations considered in the above-mentioned papers are under periodic ...Almost periodic functions are functions that are periodic up to a small ...differential equations with or ... See full document

... which was initially studied by Lazer and Solimini []. They proved that for λ ≥  (called a strong force condition in the terminology first introduced by Gordon [, ]), a necessary and sufficient condition for the ... See full document

... the existence of positive periodic solutions to ...new existence results for positive periodic solutions of the ... See full document

... the existence of nontrivial periodic solutions of ...lower solutions [2, 10, 15], fixed point theorems [6, 7, 17–19], alternative principle of Leray–Schauder [4, 11], or topological degree ... See full document

... on periodic solutions for high-order neutral dif- ferential equations (see [–] and the references ...the existence of periodic solution for the following high-order ... See full document

... differential equations with time t, such as the reaction-diffusion equation, the heat equation, the wave equation, the telegraph equation and so on, can be classified as a nonlinear evolution equation ... See full document

... the existence and uniqueness of solutions to second order fuzzy dynamic equations on time ...the existence of solutions to second order fuzzy ... See full document

... differential equations, and then by applying Mawhin’s continuation theory and some new inequalities, we obtain sufficient conditions for the existence of periodic solutions for ...Lyapunov ... See full document

... the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by(t + 1) + cy(t) = f (y(t)), where c = 0 and f : R → R is ... See full document

... the existence and expo- nential stability of anti-periodic solution for system ...the existence and global exponential stability of anti-periodic solutions of ... See full document

... 1 − H(β + γ) . (3.11) As a result, we obtain the desired bound. We see that the bound on all possible solutions to (3.4) is independent of λ. Applying Scheafer fixed point theorem, A has at least one fixed point, ... See full document

... The goal of our paper is to provide sufficient conditions that ensure the existence of pos- itive solutions of () with the function h positive on [, T ]. Our general result is illustrated by two ... See full document