Random functional-differential inclusions with nonconvex right-hand side in a Banach space
Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces.
Regularity of the solutions of second order evolution equations and their attractors
Regularity Theorems and Optimal Errors Estimates for Linear Parabolic Cauchy Problems.
Regularization for evolution equations in Hilbert spaces involving monotone operators via the semi-flows method.
Regularization of Some Classes of Ultradistribution Semigroups and Sines
Regularized cosine existence and uniqueness families for second order abstract Cauchy problems
Let (i = 1,2) be two arbitrary bounded operators on a Banach space. We study (C₁,C₂)-regularized cosine existence and uniqueness families and their relationship to second order abstract Cauchy problems. We also prove some of their basic properties. In addition, Hille-Yosida type sufficient conditions are given for the exponentially bounded case.
Regularized semigroups and systems of linear partial differential equations
Regularized Semigroups, Iterated Cauchy Problems and Equipartition of Energy.
Relationship between different types of stability for linear almost periodic systems in Banach spaces.
Relative boundedness and compactness theory for second-order differential operators.
Remarks concerning J. Witte's theorem and its applications
Remarks on existence of positive solutions of some integral equations
We study the existence of positive solutions of the integral equation in both and spaces, where and . Throughout this paper is nonnegative but the nonlinearity may take negative values. The Krasnosielski fixed point theorem on cone is used.
Remarks on Ordinary Differential Equations in Orderd Banach Spaces.
Representation of the set of mild solutions to the relaxed semilinear differential inclusion
We study the relation between the solutions set to a perturbed semilinear differential inclusion with nonconvex and non-Lipschitz right-hand side in a Banach space and the solutions set to the relaxed problem corresponding to the original one. We find the conditions under which the set of solutions for the relaxed problem coincides with the intersection of closures (in the space of continuous functions) of sets of δ-solutions to the original problem.
Resolvent and spectrum of a nonselfadjoint differential operator in a Hilbert space
We consider a second order regular differential operator whose coefficients are nonselfadjoint bounded operators acting in a Hilbert space. An estimate for the resolvent and a bound for the spectrum are established. An operator is said to be stable if its spectrum lies in the right half-plane. By the obtained bounds, stability and instability conditions are established.
Rothe's Method and Weak Solutions of Perturbed Evolution Equations in Reflexive Banach Spaces.