Stability of periodic solution

In this paper, we investigate the existence, uniqueness and stability of periodic solution of new integro-differential equations depended on special function with singular kernels.

15p lucastanguyen 01-06-2020 14 2   Download

STABILITY OF PERIODIC SOLUTIONS OF FIRST-ORDER DIFFERENCE EQUATIONS LYING BETWEEN LOWER AND UPPER SOLUTIONS ALBERTO CABADA, VICTORIA OTERO-ESPINAR, ´ AND DOLORES RODRIGUEZ-VIVERO Received 8 January 2004 and in revised form 2 September 2004 We prove that if there exists α ≤ β, a pair of lower and upper solutions of the first-order discrete periodic problem ∆u(n) = f (n,u(n)); n ∈ IN ≡ {0,...,N − 1}, u(0) = u(N), with f a continuous N-periodic function in its first variable and such that x + f (n,x) is strictly increasing in x, for every n ∈ IN , then, this problem has at...

11p sting12 10-03-2012 54 6   Download

ON THE RECURSIVE SEQUENCE E. CAMOUZIS, R. DEVAULT, AND G. PAPASCHINOPOULOS Received 12 January 2004 and in revised form 29 May 2004 Our aim in this paper is to investigate the boundedness, global asymptotic stability, and periodic character of solutions of the difference equation xn+1 = (γxn−1 + δxn−2 )/(xn + xn−2 ), n = 0,1,..., where the parameters γ and δ and the initial conditions are positive real numbers. 1.

10p sting12 10-03-2012 35 5   Download

EXISTENCE AND GLOBAL STABILITY OF POSITIVE PERIODIC SOLUTIONS OF A DISCRETE PREDATOR-PREY SYSTEM WITH DELAYS LIN-LIN WANG, WAN-TONG LI, AND PEI-HAO ZHAO Received 13 January 2004 We study the existence and global stability of positive periodic solutions of a periodic discrete predator-prey system with delay and Holling type III functional response. By using the continuation theorem of coincidence degree theory and the method of Lyapunov functional, some sufficient conditions are obtained. 1.

16p sting12 10-03-2012 59 5   Download