Periodic boundary value problems on time scales.
Periodic solution of certain second order differential equation
Periodic solutions for differential inclusions in
We consider first order periodic differential inclusions in . The presence of a subdifferential term incorporates in our framework differential variational inequalities in . We establish the existence of extremal periodic solutions and we also obtain existence results for the “convex” and “nonconvex”problems.
Periodic solutions for nonautonomous differential equations and inclusions in tubes.
Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses
In this paper, we consider periodic solutions for a class of nonlinear evolution equations with non-instantaneous impulses on Banach spaces. By constructing a Poincaré operator, which is a composition of the maps and using the techniques of a priori estimate, we avoid assuming that periodic solution is bounded like in [1-4] and try to present new sufficient conditions on the existence of periodic mild solutions for such problems by utilizing semigroup theory and Leray-Schauder's fixed point theorem....
Periodic solutions for quasilinear vector differential equations with maximal monotone terms
We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.
Periodic solutions for systems with nonsmooth and partially coercive potential
In this paper we consider nonlinear periodic systems driven by the one-dimensional -Laplacian and having a nonsmooth locally Lipschitz potential. Using a variational approach based on the nonsmooth Critical Point Theory, we establish the existence of a solution. We also prove a multiplicity result based on a nonsmooth extension of the result of Brezis-Nirenberg (Brezis, H., Nirenberg, L., Remarks on finding critical points, Comm. Pure Appl. Math. 44 (1991), 939–963.) due to Kandilakis-Kourogenis-Papageorgiou...
Periodic solutions for third order ordinary differential equations.
Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia
Existence and stability of periodic solutions are studied for a system of delay differential equations with two delays, with periodic coefficients. It models the evolution of hematopoietic stem cells and mature neutrophil cells in chronic myelogenous leukemia under a periodic treatment that acts only on mature cells. Existence of a guiding function leads to the proof of the existence of a strictly positive periodic solution by a theorem of Krasnoselskii....
Periodic solutions in systems at resonances with small relay hysteresis
Periodic solutions of a class of abstract nonlinear equations of the second order
Periodic solutions of evolution problem associated with moving convex sets
This paper is concerned with periodic solutions for perturbations of the sweeping process introduced by J.J. Moreau in 1971. The perturbed equation has the form where C is a T-periodic multifunction from [0,T] into the set of nonempty convex weakly compact subsets of a separable Hilbert space H, is the normal cone of C(t) at u(t), f:[0,T] × H∪H is a Carathéodory function and Du is the differential measure of the periodic BV solution u. Several existence results of periodic solutions for this...
Periodic solutions of higher order ordinary differential equations with one-sided growth restrictions on the nonlinear term
Periodic solutions of linear differential equations with measures as coefficients
Periodic Solutions of Periodic Retarded Functional Differential Equations
The paper presents a geometric method of finding periodic solutions of retarded functional differential equations (RFDE) , where f is T-periodic in t. We construct a pair of subsets of ℝ × ℝⁿ called a T-periodic block and compute its Lefschetz number. If it is nonzero, then there exists a T-periodic solution.
Periodic solutions of semilinear impulsive periodic system with time-varying generating operators on Banach space.
Periodic solutions of the third order parametric differential equations involving large nonlinearities
Periodic solutions of x" + f(μ, x) = 0
Periodic solutions to nonlinear differential equations.
Periodical solutions of some differential equations with small parameter