[PDF] Top 20 Existence of solutions of abstract non-autonomous second order integro-differential equations

... which implies that u(·) satisfies (.), and completes the proof. In most of cases, even when f = , the mild solution constructed in Theorem . does not satisfy equation (.). In the next sections, through the ... See full document

... anti-periodic solutions for nonlinear differential equations is closely related to the study of periodic ...periodic solutions of ...periodic solutions, the existence of anti- periodic ... See full document

... x(t) + p(t)x(t − τ ) + q(t)G x(t − σ) = f (t) (2) Also, sufficient conditions are obtained for existence of bounded nonoscillatory solutions of (2). The motivation of the present work come from the above ... See full document

... of second-order impulsive differential equations, the au- thors obtained existence results of positive solutions by using fixed point theorems in a ...on second-order bound- ... See full document

... the existence of nonoscillatory solutions of second order nonlinear neutral differential ...the existence of nonoscillatory ... See full document

... the existence of periodic solutions in the presence of a weak singularity is much more recent and the number of references is considerably ...first existence result with a weak force condition appears ... See full document

... first order quadratic differential equa- tions with ordinary derivative wherein only existence of the solutions is proved using classical hybrid fixed point theorem of Dhage ... See full document

... the existence of at least three solutions of ...monotone solutions under the growth conditions imposed on f for all A ∈ ...These solutions may not be ...the existence of upper and lower ... See full document

... differential equations in an infinite interval have been studied extensively and many results for the existence of solutions, positive solutions, multiple solutions have been obtained ... See full document

... differential equations have been well studied, especially on a compact ...nonlinear second-order ordinary differential equations was initiated by Gupta (see ...the existence of ... See full document

... where f ∈ CR, R is odd and α is parameter. Since Jone’s work in 4, there has been a great deal of research on problems of existence, multiplicity, stability, bifurcation, uniqueness, density of periodic ... See full document

... the existence of solutions for Riemann-Liouville type integro-differential equations of fractional order α ∈ (2, 3] with nonlocal three-point fractional boundary conditions via ... See full document

... the existence of solutions of a second-order impulsive differential equation with mixed boundary ...the existence of a unique solution, at least one solution, at least two ... See full document

... the existence and unique- ness of solutions for systems of first-order differential ...derive existence and comparison results for extremal solutions of a first- order ordinary ... See full document

... odic solutions of nonlinear high-order differential ...the existence of T -periodic solutions for the fol- lowing fourth-order nonlinear differential ... See full document

... the existence of solutions of periodic boundary value problems for impulsive differential equations depending on a parameter λ ...one non-zero weak ... See full document

... our goal is to present sufficient conditions for the existence of periodic solutions of the above system. Our method is based on considering the above system with some boundary conditions and constructing ... See full document

... differential equations has been emerging as an important area of investigation in recent years (see ...differential equations, impulsive functional differential equations and impulsive differential ... See full document

... ential equations, for instance, biological systems, electrical engineering, chemical reac- tions, among others can be modeled by impulsive differential equations, a good survey on impulsive ... See full document

... Tuncay Candan received his M.Sc and Ph.D degree in Applied Mathematics from the Department of Mathematics at Iowa State University, USA. He is currently a Professor of Mathematics at American University of the Middle ... See full document