Existence of solutions for a class of second-order p-Laplacian systems with impulsive effects

Existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects

This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more relaxed conditions by using the mountain pass theorem, a weak convergence argument, and a weak version of Lieb’s lemma. MSC: 34C37; 35A15; 37J45; 47J30

Existence of Subharmonic Solutions for a Class of Second-Order p-Laplacian Systems with Impulsive Effects

Existence of positive solutions for a second-order p-Laplacian impulsive boundary value problem on time scales

In this paper, we investigate the existence of positive solutions for a second-order multipoint p-Laplacian impulsive boundary value problem on time scales. Using a new fixed point theorem in a cone, sufficient conditions for the existence of at least three positive solutions are established. An illustrative example is also presented.

Existence solutions for new p-Laplacian fractional boundary value problem with impulsive effects

Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...

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.