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Journals and Conferences
Abstract We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives. This type of equations… (More)
We extend some fixed point theorems in L-spaces, obtaining extensions of the Banach fixed point theorem to partially ordered sets.
Existence of extremal solutions for scalar initial value problems is investigated. We shall concentrate upon nonlinearities having constant sign, which lead to new existence results.
Abstract This paper concerns the fully fourth-order nonlinear functional equation (E) − d d t ( ϕ ∘ u ‴ ) ( t ) = f ( t , u ″ ( t ) , u ‴ ( t ) , u , u ′ , u ″ ) , for a.a. t ∈ I = [ a , b ] , with… (More)
We prove the existence of extremal solutions for a first order functional differential equation subject to nonlinear boundary conditions of functional type. Moreover, the functions that define our… (More)
We prove the existence of solutions between given lower and upper solutions for second–order boundary value problems with deviating arguments, and we show that the set of those solutions has minimal… (More)