We introduce a non-commutative Walsh system and prove that it forms a Schauder basis in the Lp-spaces (1 < p < ∞) associated with the hyperfinite IIIλ-factors (0 < λ ≤ 1).

We present in this paper several existence theorems for nonlinear complementarity problems in Hilbert spaces. Our results are based on the concept of “exceptional family of elements” and on Leray–Schauder type altrenatives.

In this paper we investigate the existence of solutions to some classes of boundary value problems for impulsive functional and neutral functional differential equations with infinite delay, using the nonlinear alternative of Leray-Schauder type.

This paper is concerned with the existence and uniqueness of mild solution to functional fractional fuzzy impulsive differential equations. For the existence and uniqueness we use the Banach fixed point theorem and the nonlinear alternative of Leray-Schauder type.

Motivated by Vityuk and Golushkov (2004), using the Schauder Fixed Point Theorem and the Contraction Principle, we consider existence and uniqueness of positive solution of a singular partial fractional differential equation in a Banach space concerning with fractional derivative.

in this paper the fixed point theorem of schauder is used to prove the existence of a continuous solution of the nonlinear fuzzy volterra integral equations. then using some conditions the uniqueness of the solution is investigated.

the nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. using the leray-schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.

The theory of Schauder hats is a beautiful and powerful tool for investigating, under several respects, the algebraic semantics of Łukasiewicz infinite-valued logic [CDM99], [MMM07], [Mun94], [P95]. As a notably application of the theory, the elements of the free n-generated MV-algebra, that constitutes the algebraic semantics of the n-variate fragment of Łukasiewicz logic, are obtained as (t-c...