Existence of Time Periodic Solutions for One-Dimensional Newtonian Filtration Equation with Multiple Delays
نویسندگان
چکیده
In this paper, we study one-dimensional Newtonian filtration equation including unbounded sources with multiple delays. The existence of nonnegative non-trivial time periodic solutions will be established by the Leray-Schauder fixed point theorem based on some suitable Lyapunov functionals and some a priori estimates for all possible periodic solutions.
منابع مشابه
Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs
This paper deals with fuzzy cellular neural networks (FCNNs) with leakage delays and proportional delays. Applying the differential inequality strategy, fixed point theorem and almost periodic function principle, some sufficient criteria which ensure the existence and global attractivity of a unique almost periodic solution for fuzzy cellular neuralnetworks with leakage delays and p...
متن کاملBlow-up for a non-Newtonian Polytropic Filtration Equation with Multiple Nonlinearities
This paper deals with the global existence and blow-up of a non-Newtonian polytropic filtration equation with multiple nonlinearities. We obtain necessary and sufficient conditions on the global existence of all positive solutions by constructing super solutions and sub solutions. AMS Subject Classifications: 35K50, 35K55, 35K65.
متن کاملExplicit multiple singular periodic solutions and singular soliton solutions to KdV equation
Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude d...
متن کاملExistence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay
...
متن کاملPeriodic solution for a delay nonlinear population equation with feedback control and periodic external source
In this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. Nonlinear system affected by an periodic external source is studied. Existence of a control variable provides the extension of some previous results obtained in other studies. We give a illustrative e...
متن کامل