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In this paper, the existence of solutions for an initial value problem of a fractional differential equation is obtained by means of Monch's fixed point theorem and the technique of measures of… Continue Reading
An encryption key depositing apparatus comprising a unit that generates an encryption key for a user; and a unit that starts a process in response to the generation of the encryption key, the process… Continue Reading
Abstract We apply the Five Functionals Fixed Point Theorem to verify the existence of at least three positive pseudo-symmetric solutions for the three point boundary value problem,… Continue Reading
For the second order boundary value problem, y" + f(y) = 0, 0 [0, infinity); growth conditions are imposed on f which yield the existence of at least three symmetric positive solutions.
We prove the existence of at least one positive solution to the time-scale, delta–nabla dynamic equation, with boundary conditions, and Here, for ν∈(a,b), f and c are left-dense continuous and B 0 is… Continue Reading
Dedication We dedicate this book to our family members who complete us. In particular, M. Ben-chohra's dedication is to his wife, Kheira, and his children, Mohamed, Maroua, and Abdelillah; J.… Continue Reading
We give conditions on f involving pairs of lower and upper solutions which lead to the existence of at least three solutions of the two point boundary value problem y" + f(x, y, y') = 0, x epsilon… Continue Reading
The Banach fixed point theorem and the nonlinear alternative of Leray–Schauder type are used to investigate the existence of solutions for fractional order functional and neutral functional… Continue Reading
A new twin fixed-point theorem is applied first to obtain the existence of at least two positive solutions for the right focal boundary value problem y″ + f(ity) = 0, 0 <- t <- 1, y(0) = y′(1) = 0.… Continue Reading
Values of are determined for which there exist solutions in a cone of the n th order nonlinear dierential equation, u (n) = a(t)f(u), 0 <t< 1, satisfying the multipoint boundary conditions,u (j) (ai… Continue Reading