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.
Existence of positive periodic solutions to third-order delay differential equations.
Existence of positive pseudo-symmetric solutions for one-dimensional -Laplacian boundary-value problems.
Existence of positive radial solutions for a weakly coupled systems via blow up.