[PDF] Top 20 On positive periodic solutions of second order singular equations

... the following vector version of Krasnosel’skii’s fixed point theorem [14]. In addition, there are many papers concerned with the existence and multiplicity of radial solutions of the elliptic equations with ... See full document

... of singular impulsive differential equations has been emerging as an important area of investigation in recent ...a second-order differential equation u ft, u, u , one usually considers impulses ... See full document

... where a min{0, inf{τ t : 0 ≤ t ≤ 1}}, b max{1, sup{τt : 0 ≤ t ≤ 1}}, and the existence of positive solutions to 1.1 is obtained. When τt t − r in 1.1, Agarwal and O’Regan in 5, Lin and Xu in 6 discussed the ... See full document

... existence and/or uniqueness results for solutions of periodic boundary value problems are shown. Copyright q 2009 Irena Rach ˚unkov´a et al. This is an open access article distributed under the Creative ... See full document

... the second-order on the half-line,” in Mathematical Models in Engineering, Biology and Medicine: International Conference on Boundary Value Problems, ... See full document

... , , . . . , n, and α(t) ≡ t on J. By using the properties of eigenfunctions and global bifurca- tion theory, the authors proved the existence, uniqueness, nonexistence, and multiplicity results of positive ... See full document

... the second one is topological ...to singular equations in this paper, here we try to give a brief sketch of this ...a positive periodic solution for ... See full document

... a positive number β such that for all z > β, f (z) > 0 and f ( − z) < 0, (iii) when c = 1 and | b | < 2, then N arccos( − b/2) is not an even multiple of ... See full document

... of positive measure ...the singular nonlinearity was allowed to have a weak singularity (α ∈ (, ...conservative equations with weak singularities, the corresponding ones of the Liénard equation with ... See full document

... the singular terms are all ...[21–25], equations with nonautonomous singularity term of attractive type seem to receive little ...following equations with a singularity of attractive ... See full document

... differential equations represent a very interesting and important class of problems and arise in the study of various physical, biological and chemical processes [–], such as heat con- duction, chemical ... See full document

... Singular equations appear in a great deal of physical models and play an important role in the differential ...Liénard equations to the singular case and studied the positive ... See full document

... triple positive differential equations, the method has not been used to study this type of second-order singular boundary value problem with general differential ... See full document

... to periodic problems of the second-order delay equation () as well as Equation () (for Equation (), see ...of positive periodic solutions of Equation ... See full document

... derstand a function u : [, ω] → R which is positive, absolutely continuous together with its first derivative, satisfies (.) almost everywhere on [, ω], and verifies (.). In spite of the fact that the problem ... See full document

... Hence it is natural for us to consider the case β = δ + 1. In the present papere, the mo- tivation comes from the recent papers [6, 7, 14, 18]. By virtue of the minimax methods with variational techniques, the ... See full document

... of solutions for second-order differential delay equation by using a variational ...type periodic solutions of second- order differential delay equation using a ... See full document

... where c Î C( ℝ , ℝ ) is T-periodic. They proved that for l ≥ 1 (called strong force con- dition in a terminology first introduced by Gordon [8,9]), a necessary and sufficient condition for the existence of a ... See full document

... strictly positive absolutely continuous function. Such equations, even in the case p ≡ , where they are referred to as being of Schrödinger or Klein-Gordon type, ap- pear in many scientific areas including ... 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