This article concerns the existence of solutions for generalized quasilinear Schrodinger equation$$ -\hbox{div}(g^2(u)\nabla u)+g(u)g'(u){|\nabla u|}^2+V(x)u=f(x,u),\quad x\in\mathbb{R}^N\,. $$ We obtain a positive solution by using change variables and minimax theorem in an Orlicz space framework.

background: to determine the efficacy of three different antiseptic solutions (control group (i), antibiotic solution – neomycin and polymyxin (ii), chlorhexidine 0.4% (iii), and povidone – iodine 10% (iv)) in disinfecting contaminated bone fragments. methods: under sterile conditions, the femora of 12 rabbits were removed and cut into six millimeter pieces. a total of 200 bone specimens were o...

in this paper, we prove the existence of the solution for boundary value prob-lem(bvp) of fractional dierential equations of order q 2 (2; 3]. the kras-noselskii's xed point theorem is applied to establish the results. in addition,we give an detailed example to demonstrate the main result.

Purpose In this paper, the authors give a new version of sub-super solution method and prove existence positive for ( p , q )-Laplacian system under weak assumptions than usually made in such systems. particular, nonlinearities need not be monotone or positive. Design/methodology/approach The that can proved by Shcauder fixed-point theorem use to elliptic systems, which appear some problems pop...

This work deals with the uniqueness of positive solution for an elliptic equation whose nonlinearity satisfies an specific monotony property. In order to prove the main result, we employ a change of variable used in previous papers and the maximum principle.

Recently, fractional differential equations have been investigated extensively. The motivation for those works rises from both the development of the theory of fractional calculus itself and the applications of such constructions in various sciences such as physics, chemistry, aerodynamics, and electrodynamics of the complex medium. For examples and details, see 1–5 and the references therein. ...

Abstract. We describe an implementation of the generalized Schur algorithm for the superfast solution of real positive definite Toeplitz systems of order n + 1, where n = 2ν . Our implementation uses the split-radix fast Fourier transform algorithms for real data of Duhamel. We are able to obtain the nth Szegő polynomial using fewer than 8n log 2 n real arithmetic operations without explicit us...