Cone-valued impulsive differential and integrodifferential inequalities.
Continuous dependence on data for quasiautonomous nonlinear boundary value problems.
Degenerate evolution problems and Beta-type operators
The present paper is concerned with the study of the differential operator Au(x):=α(x)u”(x)+β(x)u’(x) in the space C([0,1)] and of its adjoint Bv(x):=((αv)’(x)-β(x)v(x))’ in the space , where α(x):=x(1-x)/2 (0≤x≤1). A careful analysis of their main properties is carried out in view of some generation results available in [6, 12, 20] and [25]. In addition, we introduce and study two different kinds of Beta-type operators as a generalization of similar operators defined in [18]. Among the corresponding...
Effective finding of the solutions of the form for the differential equations of the finite and infinite order
Ein Eindeutigkeitssatz für die Differentialgleichung y' = f (x, y).
Eine Anwendung diophantischer Approximationen auf die Theorie von Differentialgleichungen.
Eine Klasse entarteter gewöhnlicher Differentialgleichungen und das Kollokationsverfahren zu ihrer Lösung
Error analysis of Adomian series solution to a class of nonlinear differential equations.
Étude d'un problème d'évolution non monotone
Étude mathématique d'un modèle de flamme laminaire sans température d'ignition : I - cas scalaire
Euler approximation of nonconvex discontinuous differential inclusions.
Even order differential equations with measures as coefficients
Evolution Problems and Minimizing Movements
We recall the definition of Minimizing Movements, suggested by E. De Giorgi, and we consider some applications to evolution problems. With regards to ordinary differential equations, we prove in particular a generalization of maximal slope curves theory to arbitrary metric spaces. On the other hand we present a unifying framework in which some recent conjectures about partial differential equations can be treated and solved. At the end we consider some open problems.
Existence and approximation of solutions of second order nonlinear Neumann problems.
Existence and iteration of positive solutions for a singular two-point boundary value problem with a -Laplacian operator
In the paper, we obtain the existence of symmetric or monotone positive solutions and establish a corresponding iterative scheme for the equation , , where , , subject to nonlinear boundary condition. The main tool is the monotone iterative technique. Here, the coefficient may be singular at .
Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.
Existence and uniqueness of positive solutions for a third-order three-point problem on time scales.
Existence and uniqueness of solutions for boundary value problems to the singular one-dimension -Laplacian.
Existence and uniqueness of solutions for singular higher order continuous and discrete boundary value problems.
Existence and uniqueness theorem for a solution of fuzzy differential equations.