-semigroups of linear operators on some ultrametric Banach spaces.
Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces
In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale. For this purpose, we introduce an equivalent integral operator to the SLBVP by means of Green’s function on an appropriate set. By imposing the regularity conditions expressed in terms of Kuratowski measure of noncompactness, we prove the existence of the fixed points of the equivalent integral operator. Mönch’s...
Cauchy problem for derivors in finite dimension.
Cauchy Problems for Polynomial Operator Matrices on Abstract Energy Spaces.
Classical solutions of parabolic equations in Hölder spaces
Sono dati nuovi teoremi di esistenza per soluzioni regolari di equazioni di evoluzione paraboliche astratte con applicazioni all'equazione del calore in spazi di funzioni holderiane e alle equazioni semilineari.
Closed semistable operators and singular differential equations
We study a class of closed linear operators on a Banach space whose nonzero spectrum lies in the open left half plane, and for which is at most a simple pole of the operator resolvent. Our spectral theory based methods enable us to give a simple proof of the characterization of -semigroups of bounded linear operators with asynchronous exponential growth, and recover results of Thieme, Webb and van Neerven. The results are applied to the study of the asymptotic behavior of the solutions to a singularly...
Coalescence of solutions for nonlinear Stieltjes equations.
Co-density and other properties of the solution set of differential inclusions with noncompact right-hand side
There are studied two classes of differential inclusions with right-hand side admitting noncompact values in a Banach space. Co-density, lower semicontinuity in initial point and relaxation property of the solution set have been obtained.
Coerciveness inequality for nonlocal boundary value problems for second order abstract elliptic differential equations.
Compact perturbations of linear differential equations in locally convex spaces
Herzog and Lemmert have proven that if E is a Fréchet space and T: E → E is a continuous linear operator, then solvability (in [0,1]) of the Cauchy problem ẋ = Tx, x(0) = x₀ for any x₀ ∈ E implies solvability of the problem ẋ(t) = Tx(t) + f(t,x(t)), x(0) = x₀ for any x₀ ∈ E and any continuous map f: [0,1] × E → E with relatively compact image. We prove the same theorem for a large class of locally convex spaces including: • DFS-spaces, i.e., strong duals of Fréchet-Schwartz spaces,...
Compactness and existence results for ordinary differential equations in Banach spaces.
Compactness in certain abstract function spaces with application to differential inclusions
In this note we present a result on compactness in certain Banach spaces of vector valued functions. We demonstrate an application of this result to the questions of existence of solutions of nonlinear differential inclusions on a Banach space.
Compactness of the inverse of the minimal operator for a class of ordinary differential expressions.
Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain.
Complex dynamical systems and the geometry of domains in Banach spaces [Book]
Complex dynamical systems on bounded symmetric domains.
Composition of pseudo almost periodic functions and Cauchy problems with operator of non dense domain
Composition theorems of Stepanov almost periodic functions and Stepanov-like pseudo-almost periodic functions.
Condition nécessaire d'optimalité pour un système régi par des équations aux dérivés partielles non linéaires de type parabolique
Conditions for existence of a global strong solution to a class of nonlinear evolution equations in Hilbert space. II.