A (...)-stable approximations of abstract Cauchy problems.
A theorem about Carathéodory's superposition
A Theorem On Fixed Points In Locally Convex Spaces
A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset of the solution set of the singularly perturbed system. This subset is the set of...
A trace formula of a boundary value problem for the operator Sturm-Liouville equation.
A viability result for second-order differential inclusions.
A viable result for nonconvex differential inclusions with memory.
A weak invariance principle and asymptotic stability for evolution equations with bounded generators.
Abstract Quasilinear Parabolic Equations.
Abstract theory of variational inequalities with Lagrange multipliers and application to nonlinear PDEs
Recently, we established some generalizations of the theory of Lagrange multipliers arising from nonlinear programming in Banach spaces, which enable us to treat not only elliptic problems but also parabolic problems in the same generalized framework. The main objective of the present paper is to discuss a typical time-dependent double obstacle problem as a new application of the above mentioned generalization. Actually, we describe it as a usual parabolic variational inequality and then characterize...
Adaptive finite element methods for elliptic problems: Abstract framework and applications
We consider a general abstract framework of a continuous elliptic problem set on a Hilbert space V that is approximated by a family of (discrete) problems set on a finite-dimensional space of finite dimension not necessarily included into V. We give a series of realistic conditions on an error estimator that allows to conclude that the marking strategy of bulk type leads to the geometric convergence of the adaptive algorithm. These conditions are then verified for different concrete problems...
Addendum and corrigendum to the paper "Some applications of Zygmund's lemma to non-linear differential equations in Banach and Hilbert spaces" (Studia Math., 44 (1972), pp. 335-344)
Adjoint and self-adjoint differential operators on graphs.
Adjoints of solution semigroups and identifiability of delay differential equations in Hilbert spaces.
Admissibly integral manifolds for semilinear evolution equations
We prove the existence of integral (stable, unstable, center) manifolds of admissible classes for the solutions to the semilinear integral equation when the evolution family has an exponential trichotomy on a half-line or on the whole line, and the nonlinear forcing term f satisfies the (local or global) φ-Lipschitz conditions, i.e., ||f(t,x)-f(t,y)|| ≤ φ(t)||x-y|| where φ(t) belongs to some classes of admissible function spaces. These manifolds are formed by trajectories of the solutions belonging...
Algebraic Solutions of Differential Equations (p-Curvature and the Hodge Filtration).
Algunas Aproximaciones Sucesivas Para Las Aplicaciones En La Clase D (a,b).
Almost automorphic and pseudo-almost automorphic solutions to semilinear evolution equations with nondense domain.
Almost automorphic functions with values in -Fréchet spaces.
Almost automorphic mild solutions to some semilinear abstract differential equations with deviated argument in Fréchet spaces.