[PDF] Top 20 Existence and uniqueness of periodic solutions of second order nonlinear differential equations

... Proof From Lemma ., we have obtained that Eq. (.) has at most one T -periodic so- lution. Thus, to prove Theorem ., it suffices to show that Eq. (.) has at least one T -periodic solution. To do this, ... See full document

... Liu, Existence and uniqueness of periodic solutions for a kind of Lienard type p-Laplacian equation, Nonlinear Analysis TMA, 69, 724–729, 2008 ... See full document

... In this note, existence and uniqueness criteria for periodic solutions of 1.3 will be established. For this purpose, we will make use of a continuation theorem of Mawhin. Let X and Y be two ... See full document

... particular, differential equations with impulsive conditions constitute an im- portant field of research due to their numerous applications in ecology, medicine biology, electrical engineering and other ... See full document

... the existence of solutions of ordinary differential equation with the periodic- integral boundary value conditions has been studied in some articles ...[] existence and uniqueness of ... See full document

... on periodic solutions for ordinary differential equations is a very important branch in the differential equation ...the existence of periodic solutions for ... See full document

... spectrum. Nonlinear Anal. 26, 407-414 (1996) 5. Cong, F: Periodic solutions for second order differential ...Differential equations with integral boundary ...Positive ... See full document

... u f (u) > 0 whenever | u | ≥ β. (1.3) We prove that if N is odd and larger than one, then the difference equation will have a N-periodic solution unless all of the following conditions are satisfied: c = 1, | b ... See full document

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

... the solutions of (3) and (4), under various ranges of ...for existence of nonoscillatory solutions of ...study existence of positive solution of such type of functional differential ... See full document

... rential equations involving Riemann-Liouville differential operator ( 0 < < α 1 ) has been discussed by Lakshmikantham et ...for differential equations involving Riemann-Liouville and ... See full document

... of nonlinear differential equations of arbitrary ...New existence and uniqueness results are established using Banach contraction ...Other existence results are obtained using ... See full document

... the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations and inclusions of order q Î (1, 2] with nonlocal ... See full document

... and existence results of the solutions have been introduced and proved by Li and his coauthors; see [5] for Levinson’s problem, [6] for Lyapunov func- tion type theorems, [7] for averaging methods of ... 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

... Compared with [] and [], we not only generalize the boundary conditions but also consider the derivative term. As far as we know, few papers can be found in the literature on the existence and uniqueness ... See full document

... dynamic equations unifies the theories of differential equations and difference ...of periodic time scales is introduced in Atici et ... See full document

... L iapunov 1 s Direct Method for stability has the advantage that it does not r equir e any knowledge of the solution except the knowl edge that i t satisfy a certain differential equatio[r] ... See full document

... functional differential equations have been studied in recent ...of equations, one may follow [1, 2, 11, 12] and the references cited ...The existence of nonoscillatory solution of functional ... See full document

... A bead sliding on a wire is a classic problem in theoretical dynamics [3]. Our interest in this problem is from the point of view of studying the resulting non- linear differential equations. We seek in ... See full document