Almost automorphic solutions to abstract fractional differential equations.
Almost automorphic solutions to some differential equations in Banach spaces.
Almost automorphy of semilinear parabolic evolution equations.
Almost periodic solutions for some multivalued differential equations in Banach spaces.
Almost periodic solutions of higher order differential equations on Hilbert spaces.
Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces.
Almost periodicity of solutions of the equation with unbounded commuting operators
Almost sharp conditions for the existence of smooth inertial manifolds
Almost-periodic processes and the existence of almost-periodic solutions.
Almost-periodicity in linear topological spaces and applications to abstract differential equations.
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 adaptive continuation process for solving systems of nonlinear equations
An Algebraic Approach to Implicit Evolution Equations
A Banach algebra homomorphism on the convolution algebra of integrable functions is the essence of Kisyński's equivalent formulation of the Hille-Yosida theorem for analytic semigroups. For the study of implicit evolution equations the notion of empathy happens to be more appropriate than that of semigroup. This approach is based upon the intertwining of two families of evolution operators and two families of pseudo-resolvents. In this paper we show that the Kisyński approach can be adapted to empathy...
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