Existence and Lyapunov stability of periodic solutions for generalized higher-order neutral differential equations.
Existence and positivity of solutions for a nonlinear periodic differential equation
We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.
Existence and regularity of local solutions to partial neutral functional-differential equations with infinite delay.
Existence and stability for some partial functional differential equations with infinite delay.
Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays.
Existence and stability of antiperiodic solution for a class of generalized neural networks with impulses and arbitrary delays on time scales.
Existence and stability of periodic solutions for a class of generalized nonautonomous neural networks with distributed delays.
Existence and stability of periodic solutions for a nonlocal evolution population problem.
The theory of maximal monotone operators is applied to prove the existence of weak periodic solutions for a nonlinear nonlocal problem. The stability of these solutions is a consequence of the Lipschitz continuous assumption on the diffusivity matrix and the death rate.
Existence and Stability of Periodic Solutions for Nonlinear Neutral Differential Equations with Variable Delay Using Fixed Point Technique
Our paper deals with the following nonlinear neutral differential equation with variable delay By using Krasnoselskii’s fixed point theorem we obtain the existence of periodic solution and by contraction mapping principle we obtain the uniqueness. A sufficient condition is established for the positivity of the above equation. Stability results of this equation are analyzed. Our results extend and complement some results obtained in the work [Yuan, Y., Guo, Z.: On the existence and stability of...
Existence and stability of solutions for nonlinear Mecking-Lucke-Grilhe equations.
Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.
Existence and uniqueness of a positive steady state solution for a logistic system of differential difference equations.
Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments
We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).
Existence and uniqueness of periodic solutions for a kind of nonlinear nth order differential equations with delays
By applying the continuation theorem of coincidence degree theory, we establish new results on the existence and uniqueness of 2π-periodic solutions for a class of nonlinear nth order differential equations with delays.
Existence and uniqueness of periodic solutions for a second-order nonlinear differential equation with piecewise constant argument.
Existence and uniqueness of periodic solutions for first-order neutral functional differential equations with two deviating arguments.
Existence and uniqueness of periodic solutions of mixed monotone functional differential equations.
Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models
This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays. By applying the coincidence degree, some criteria are established for the existence and uniqueness of positive periodic solutions of the model. Moreover, a totally new approach to proving the uniqueness of positive periodic solutions is proposed. In particular, an example is employed to illustrate the main results.
Existence and uniqueness of solutions for a second-order delay differential equation boundary value problem on the half-line.
Existence and uniqueness of solutions to a semilinear functional-differential evolution nonlocal Cauchy problem.