A viability result for second-order differential inclusions.
Abstract Quasilinear Parabolic Equations.
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.
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...
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 solutions to abstract fractional differential equations.
Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces.
Almost sharp conditions for the existence of smooth inertial manifolds
Almost-periodic processes and the existence of almost-periodic solutions.
An abstract differential equation and the potential bifurcation theorems by Krasnosel'skij
An abstract differential inequality and eigenvalues of variational inequalities
An abstract non-linear Cauchy-Kowalewski theorem and its proof by a contraction-mapping principle
An abstract nonlinear second order differential equation
By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.
An abstract semilinear first order differential equation in the hyperbolic case.
An abstract semilinear first order differential equation in the hyperbolic case
This paper is devoted to the investigation of the abstract semilinear initial value problem , in the “hyperbolic” case.
An application of a fixed point principle of Sadovskij to differential equations on the real line
An application of newton iteration procedure to -adic differential equations
An application of the Nash-Moser theorem to ordinary differential equations in Fréchet spaces
A general existence and uniqueness result of Picard-Lindelöf type is proved for ordinary differential equations in Fréchet spaces as an application of a generalized Nash-Moser implicit function theorem. Many examples show that the assumptions of the main result are natural. Applications are given for the Fréchet spaces , , , , for Köthe sequence spaces, and for the general class of subbinomic Fréchet algebras.