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We discuss the existence of multiple radial symmetric solutions for non- linear boundary value problems of p -Laplacian, based on Leggett-Williams’s fixedc.

In this paper the concepts of lower mild and upper mild solutions combined with a fixed point theorem for condensing maps and the semigroup theory are used to investigate the

Key words and phrases: Impulsive differential inclusions, Filippov’s theorem, re- laxation theorem, boundary value problem, compact sets, Poincar´e operator, degree

Key words: Impulsive boundary value problems; Solvability; Schaefer’s fixed-point theorem; Periodic and anti-periodic boundary conditions.. AMS(2000) Mathematics

In the second result, we shall combine the nonlinear alternative of Leray-Schauder type for single-valued maps with a selection theorem due to Bressan and Colombo for

Keywords: Existence and uniqueness; positive solution; fixed point theorem of generalized concave operators; Neumann boundary value problem; second order impulsive

Now, we present another existence result for the problem (1.1)-(1.4) in the spirit of the nonlinear alternative of Leray-Schauder type [24] for single-valued maps, combined with

Abstract In this paper, the M¨ onch fixed point theorem is used to investigate the existence of positive solutions for the second-order boundary value problem with integral