Existence of solutions of the Darboux problem for partial differential equations in Banach spaces
Existence of solutions of the dynamic Cauchy problem on infinite time scale intervals
In the paper, we prove the existence of solutions and Carathéodory’s type solutions of the dynamic Cauchy problem , t ∈ T, x(0) = x₀, where T denotes an unbounded time scale (a nonempty closed subset of R and such that there exists a sequence (xₙ) in T and xₙ → ∞) and f is continuous or satisfies Carathéodory’s conditions and some conditions expressed in terms of measures of noncompactness. The Sadovskii fixed point theorem and Ambrosetti’s lemma are used to prove the main result. The results presented...
Existence of solutions to a second order partial differential equation with nonlocal conditions.
Existence of square-mean almost periodic mild solutions to some nonautonomous stochastic second-order differential equations.
Existence of the fundamental solution of a second order evolution equation
We give sufficient conditions for the existence of the fundamental solution of a second order evolution equation. The proof is based on stable approximations of an operator A(t) by a sequence of bounded operators.
Existence of viable solutions for nonconvex differential inclusions.
Existence of weak solutions for abstract hyperbolic-parabolic equations.
Existence results for a class of semi-linear evolution equations.
Existence results for a second-order abstract Cauchy problem with nonlocal conditions.
Existence results for differential equations in Banach spaces
This paper presents existence results for initial and boundary value problems for nonlinear differential equations in Banach spaces.
Existence results for first order impulsive semilinear evolution inclusions.
Existence results for impulsive semilinear damped differential inclusions.
Existence results for impulsive systems with nonlocal conditions in Banach spaces.
Existence results for infinite dimensional differential equations without compactness
Existence results for multivalued semilinear functional differential equations.
This note is concerned with the existence of mild solutions defined on a compact real interval for first and second order semilinear functional differential inclusions.
Existence results for neutral functional-differential and integrodifferential inclusions in Banach spaces.
Existence results for nondensely defined semilinear functional differential inclusions in Fréchet spaces.
Existence results for second-order neutral functional differential and integrodifferential inclusions in Banach spaces.
Existence results of nonconvex differential inclusions.
Existence theorems for a second order -point boundary value problem at resonance.