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As we previously said, in order to apply the twist fixed point theorem to prove the existence of periodic solutions to planar Hamiltonian systems, Birkhoff tried to replace
For the most part, each of the papers on the existence of triple positive solutions makes an application of the fixed point theorem by Leggett and Williams [12] which was
Functional boundary value problem, existence, Leray- Schauder degree, Borsuk theorem, α -condensing operator.. 1991 Mathematics
In order to study the existence of solutions of problem (1.1)-(1.2), we shall apply method of upper and lower solutions and the so-called quasilinearization technique.. The method
Avery, Henderson, and O’Regan [1], in a dual of the Leggett-Williams fixed point theorem, gave conditions which guaranteed the existence of a fixed point for a completely continuous
In [16], by using the fixed point theorem in a cone, we studied the existence of positive solutions of boundary value problem for systems of second-order differential equations
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
5.6 Conclusion Using Burton-Kirk’s fixed point theorem and analytical semigroup theory, we prove the existence of mild solution of a class of non-instantaneous impulsive fractional
