BOUNDEDNESS FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH JUMPING $p$-LAPLACIAN AND AN OSCILLATING TERM

EXISTENCE OF GLOBAL SOLUTIONS FOR SYSTEMS OF SECOND-ORDER FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN

We find sufficient conditions for the existence of global solutions for the systems of functional-differential equations ` A(t)Φp(y ′) ́′ + B(t)g(y′, y′ t) + R(t)f(y, yt) = e(t), where Φp(u) = (|u1|p−1u1, . . . , |un|p−1un)T which is the multidimensional p-Laplacian.

On Second-Order Differential Equations with Nonhomogeneous -Laplacian

Initial value problems for second order hybrid fuzzy differential equations

Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia

An explicit Numerov-type method for second-order differential equations with oscillating solutions

In this paper a new explicit Numerov-type method is introduced. The construction is based on a modification of a sixth-order explicit Numerov-type method recently developed by Tsitouras [Ch. Tsitouras, Explicit Numerov type methods with reduced number of stages, Comput. Math. Appl. 45 (2003) 37–42]. Two free parameters are added in order to nullify the phase-lag and the amplification. The metho...

Solvability of boundary value problem for second order impulsive differential equations with one-dimensional p-Laplacian on whole line

The motivation for the present work stems from both practical and theoretical aspects. In fact, boundary value problems on the whole line arise quite naturally in the study of radially symmetric solutions of nonlinear elliptic equations modelling various physical phenomena such as unsteady flow of gas though a whole, porous media, and the theory of drain flows. The asymptotic theory of ordinary...