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In order to prove the stability theorem we exploit some uniqueness and regularity results for this class of equations that have been recently established in a companion paper [8]
The concepts of polynomial stabilization, strong poly- nomial stabilization, and strong stabilization are introduced for a fun- damental system of solutions of linear
Ashordia, The conditions for existence and uniqueness of solutions of nonlinear boundary value problems for systems of generalized ordinary differential equations. Razmadze
Namely, some sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of hyperbolic evolution equations are given.. As an
Murat, Existence and regularity of renormalized solutions for some elliptic problems involving derivation of nonlinear terms, J.. Orsina, Nonlinear parabolic equations with
The usual weak formulations of parabolic problems with initial data in L 1 do not ensure existence and uniqueness of solutions.. There then arose formulations which were more
[21] Hern´andez, E.; McKibben, M.; Some comments on: “ Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations.. Regularity
In view of the impor- tance of the equation studied in [1], Pachpatte [10, 11, 12] has studied the existence uniqueness and other properties of solutions of more general
