Periodic Solutions of Mixed Type p-Laplacian Equations with Deviating Arguments

Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,which are complement of previously known results.

The Existence and Uniqueness of Periodic Solutions for a Kind of Lienard Equation with a Deviating Argument

By means of Mawhin's continuation theorem,we study a kind of lie'nard functional differential equations:x"(t)+f(x(t))x'(t)+g(t,x(t-τ(t))) = e(t).Some new results on the existence and uniqueness of periodic solutions are obtained.

Periodic Solutions for p-Laplacian Neutral Functional Differential Equation with a Deviating Argument

In this paper, by using the continuation theorem of coincidence degree theory and some analysis methods, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with a deviating argument(φp(x(t).. cx(t.. σ)) ′) ′ + f(t, x ′(t)) + g(t, x(t.. τ(t))) = e(t), some new results on the existence of periodic solutions is obtained.

Existence of Periodic Solutions to a Class of Third-order p-Laplacian Equations with Delays

By using the continuation theorem of coincidence degree theory due to Mawhin and the new analytical method, we study the T-periodic solutions to a class of third order p-Laplacian equations with distributed delays as follows(φp((x(t).. cx(t.. σ)) ′′)) ′ +f1(x(t))x ′(t) + f2(x ′(t))x ′′(t) +g(t, x(t), x(t.. τ(t)), ∫ 0.r x(t + s) dm(s))=e(t). Some new results for existence of T-periodic solutions to such equations are obtained.

EXISTENCE AND UNIQUENESS OF ANTI-PERIODIC SOLUTIONS TO AN nTH-ORDER NONLINEAR DIFFERENTIAL EQUATION WITH MULTIPLE DEVIATING ARGUMENTS

In this paper,we use the Leray-Schauder degree theory to establish some new results on the existence and uniqueness of anti-periodic solutions to an nth-order nonlinear differential equation with multiple deviating arguments.

PERIODIC SOLUTIONS TO p-LAPLACIAN GENERALIZED LINARD EQUATION WITH DEVIATING ARGUMENTS

Using the theory of coincidence degree,we study a kind of periodic solutions to p-Laplacian generalized Liénard equation with deviating arguments. A result on the existence of periodic solutions is obtained.

PERIODIC SOLUTION FOR p-LAPLACIAN DIFFERENTIAL EQUATION WITH A DEVIATING ARGUMENT

By using the theory of coincidence degree, we study a kind of periodic solution to p-Laplacian differential equation with a deviating argument such as （φp（x＇（t）））＇ ＋ f（x（t）） ＋ g（x（t - τ（t））） = e（t）, a result on the existence of periodic solution is obtained.

PERIODIC SOLUTIONS TO A KIND OF RAYLEIGH EQUATION WITH A DEVIATING ARGUMENT AND IMPULSES

By employing the coincidence degree theory of Mawhin, we study the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument and impulses. Some new results on the existence of periodic solutions to the equation are obtained.

EXISTENCE OF PERIODIC SOLUTION TO HIGHER ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT

In this paper,using the coincidence degree theory of Mawhin,we investigate the existence of periodic solutions to higher order differential equations with deviating argument. Some new results on the existence of periodic solutions to the equations are obtained. In addition,we give an example to illustrate the main results.

THE EXISTENCE OF ANTI-PERIODIC SOLUTION TO A p-LAPLACIAN FUNCTIONAL DIFFERENTIAL EQUATION WITH A DEVIATING ARGUMENT

By means of Leray Schauder fixed point theorem, a kind of p-Laplacian functional differential equation with a deviating argument is studied. A new result on the existence of anti-periodic solution is obtained.

Periodicity and Stability in Periodic n-Species Lotka-Volterra Competition System with Feedback Controls and Deviating Arguments

By using the method of coincidence degree and Lyapunov functional, a set ofeasily applicable criteria are established for the global existence and global asymptotic stabilityof strictly positive (componentwise) periodic solution of a periodic n-species Lotka-Volterracompetition system with feedback controls and several deviating arguments. The problem considered inthis paper is in many aspects more general and incorporate as special cases various problems whichhave been studied extensively in the literature. Moreover, our new criteria, which improve andgeneralize some well known results, can be easily checked.

Weighted Pseudo Almost Periodic Solutions of N-th Order Neutral Differential Equations with Piecewise Constant Arguments

In this work, we present some existence theorems of weighted pseudo almost periodic solutions for N-th order neutral differential equations with piecewise constant argument by means of weighted pseudo almost periodic solutions of relevant difference equations.

Existence of almost periodic solutions of neutral differential equations with piecewise constant argument

Based on the properties on almost periodic sequence, it is proved that the almost periodic solutions for a class of neutral differential equations with piecewise constant argument exist.

A new almost periodic type of solutions of second order neutral delay differential equations with piecewise constant argument

A definition of pseudo almost periodic sequence is given and the existence of pseudo al-most periodic seguence to difference equation is studied. Based on these, the existence of pseudo almost periodic solutions to neutral delay differential equations with piecewise constant argument is inves-tigated.

Pseudo Almost Periodic Solutions of a Singularly Perturbed Differential Equation with Piecewise Constant Argument

Under suitable assumptions, the existence and the uniqueness of the pseudo-almost periodic solution for a singularly perturbed differential equation with piecewise constant argument are obtained. In addition, the stability properties of these solutions are characterized by the construction of manifolds of initial data.

The Existence of Pseudo-almost Periodic Solutions of Third-order Neutral Differential Equations with Piecewise Constant Argument

In this paper, we present some existence theorems for pseudo-almost periodic solutions of differential equations with piecewise constant argument by means of pseudo-almost periodic solutions of relevant difference equations.

On a new almost periodic type solution of a class of singularly perturbed differential equations with piecewise constant argument

A new class of ergodic sequences, pseudo almost periodic sequence, is introduced, and the existence of pseudo almost periodic sequence to difference equation is studied. Based on these, we investigate the existence of pseudo almost periodic solutions for a nonautonomous, singularly perturbed differential equations with piecewise constant argument.

A New Almost Periodic Type Solution of First Order Neutral Delay Differential Equations with Piecewise Constant Argument

In this paper,we introduce a new class of ergodic sequences,pseudo almost periodic sequences,and study the existence of pseudo almost periodic sequences to difference equations.On the basis of these,we investigate the existence of pseudo almost periodic solutions for neutral delay differential equations with piecewise constant argument, d/(dt)(y(t)+py(t-1))=qy(2[(t+1)/2])+g(t,y(t),([t])).

Existence of almost periodic solutions of second order neutral delay differential equations with piecewise constant argument

By constructing almost periodic sequence solutions to difference equations, the existence of almost periodic solutions of neutral delay differential equations with piecewise constant argument d 2dt 2x(t)+px(t-1))=qx((2(t+12+g((t,x(t),x(()).is studied.