Periodic solutions for planar systems with time-varying delays.
Periodic solutions for small and large delays in a tumor-immune system model.
Periodic solutions for some delay differential equations appearing in models of power systems
The authors use coincidence degree theory to establish some new results on the existence of T-periodic solutions for the delay differential equation x''(t) + a₁x'(t) + a₂(xⁿ(t))' + a₃x(t)+ a₄x(t-τ) + a₅xⁿ(t) + a₆xⁿ(t-τ) = f(t), which appears in a model of a power system. These results are of practical significance.
Periodic solutions for some partial functional 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 of a delayed predator-prey model with stage structure for predator.
Periodic solutions of a discrete-time diffusive system governed by backward difference equations.
Periodic solutions of a high order equation with deviating arguments.
Periodic solutions of differential equations with a general piecewise constant argument and applications.
Periodic solutions of fourth-order functional differential equations with -Laplacian
Periodic solutions of neutral Duffing equations.
Periodic solutions of nth order delay Rayleigh equations
A priori bounds are established for periodic solutions of an nth order Rayleigh equation with delay. From these bounds, existence theorems for periodic solutions are established by means of Mawhin's continuation theorem.
Periodic solutions of periodic generalized food limited model.
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 equations at resonance with a -dimensional kernel.
Periodic solutions to a -Laplacian neutral Rayleigh equation with deviating argument
By using the coincidence degree theory, we study a type of -Laplacian neutral Rayleigh functional differential equation with deviating argument to establish new results on the existence of -periodic solutions.
Periodicity and stability in neutral nonlinear differential equations with functional delay.
Periodicity and stability in neutral nonlinear dynamic equations with functional delay on a time scale.
Periodicity in a delayed ratio-dependent predator-prey system with exploited term.
Periodicity in a ratio-dependent predator-prey system with stage structure for predator.