Existence of periodic solutions for a semilinear ordinary differential equation.
Existence of periodic solutions for first-order totally nonlinear neutral differential equations with variable delay
We use a modification of Krasnoselskii’s fixed point theorem due to Burton (see [Liapunov functionals, fixed points and stability by Krasnoselskii’s theorem, Nonlinear Stud. 9 (2002), 181–190], Theorem 3) to show that the totally nonlinear neutral differential equation with variable delay has a periodic solution. We invert this equation to construct a fixed point mapping expressed as a sum of two mappings such that one is compact and the other is a large contraction. We show that the mapping fits...
Existence of periodic solutions for Liénard-type p-Laplacian systems with variable coefficients
We study the existence of periodic solutions for Liénard-type p-Laplacian systems with variable coefficients by means of the topological degree theory. We present sufficient conditions for the existence of periodic solutions, improving some known results.
Existence of periodic solutions for neutral nonlinear differential equations with variable delay.
Existence of periodic solutions for nonlinear Liénard systems.
Existence of Periodic Solutions for Nonlinear Neutral Dynamic Equations with Functional Delay on a Time Scale
Let be a periodic time scale. The purpose of this paper is to use a modification of Krasnoselskii’s fixed point theorem due to Burton to prove the existence of periodic solutions on time scale of the nonlinear dynamic equation with variable delay , , where is the -derivative on and is the -derivative on . We invert the given equation to obtain an equivalent integral equation from which we define a fixed point mapping written as a sum of a large contraction and a compact map. We show...
Existence of periodic solutions for -Laplacian equations on time scales.
Existence of periodic solutions for second order delay differential equations with impulses.
Existence of periodic solutions for second-order neutral differential equations.
Existence of periodic solutions in totally nonlinear delay dynamic equations.
Existence of periodic solutions of a delayed predator-prey system on time scales.
Existence of periodic solutions of impulsive differential systems.
Existence of periodic solutions of linear Hamiltonian systems with sublinear perturbation.
Existence of positive, negative, and sign-changing solutions to discrete boundary value problems.
Existence of positive periodic solution of a periodic cooperative model with delays and impulses.
Existence of positive periodic solutions for delayed predator-prey patch systems with stocking.
Existence of positive periodic solutions for neutral functional differential equations.
Existence of positive periodic solutions for non-autonomous functional differential equations.
Existence of positive periodic solutions of an SEIR model with periodic coefficients
An SEIR model with periodic coefficients in epidemiology is considered. The global existence of periodic solutions with strictly positive components for this model is established by using the method of coincidence degree. Furthermore, a sufficient condition for the global stability of this model is obtained. An example based on the transmission of respiratory syncytial virus (RSV) is included.
Existence of positive periodic solutions of higher-order functional difference equations
Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations. An example is used to illustrate the applicability of the main result.