Results 51 to 60 of about 722,802 (181)
S-asymptotically omega-periodic solutions for abstract neutral differential equations
Electronic Journal of Differential Equations, 2015 In this article we study the existence of S-asymptotically omega-periodic solutions for abstract neutral functional differential equations recently, introduced in the literature.
Michelle Pierri, Donal O'Regan
doaj
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper we study a new class of functions, which we call $(\omega,c)$-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions.
Edgardo Alvarez +2 more
doaj +1 more source
Duality for Nonlinear Abstract Evolution Differential Equations
Zeitschrift für Analysis und ihre Anwendungen, 1991 The existence of periodic solutions and duality results for an abstract differential equation in HiIbert space are established. The dual variational method and a modification of the duality theory of Toland are used.
Nowakowski, A., Rogowski, A.
openaire +2 more sources
On the spectrum of weakly almost periodic solutions of certain abstract differential equations
International Journal of Mathematics and Mathematical Sciences, 1985 In a sequentially weakly complete Banach space, if the dual operator of a linear operator A satisfies certain conditions, then the spectrum of any weakly almost periodic solution of the differential equation u′=Au+f is identical with the spectrum of f ...
Aribindi Satyanarayan Rao, L. S. Dube
doaj +1 more source
Abstract Schroedinger-Type Differential Equations with Variable Domain
Journal of Mathematical Analysis and Applications, 1997 Existence and uniqueness results for suitably defined weak solutions to the Cauchy problem for a class of linear abstract differential equations of Schrödinger type with variable domain are proved.
BERNARDI M. L +2 more
openaire +3 more sources
Massera Type Theorems for Abstract Functional Differential Equations
Funkcialaj Ekvacioj, 2008 18 ...
Liu, Qing +3 more
openaire +4 more sources
Journal of Inequalities and Applications, 2005 We establish optimal, in a sense, unique solvability conditions of the Cauchy problem for a wide class of linear functional differential equations in a Banach space with a solid wedge.
Šremr Jiří +1 more
doaj
Caratheodory’s approximation for a type of Caputo fractional stochastic differential equations
Advances in Difference Equations, 2020 The Caratheodory approximation for a type of Caputo fractional stochastic differential equations is considered. As is well known, under the Lipschitz and linear growth conditions, the existence and uniqueness of solutions for some type of differential ...
Zhongkai Guo, Junhao Hu, Weifeng Wang
doaj +1 more source
Solvability and completeness of solutions of parabolic differential-operator equations [PDF]
Математичні Студії, 2011 We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
doaj
Differentiability of weak solutions to an abstract inhomogeneous differential equation [PDF]
Proceedings of the American Mathematical Society, 1981 A characterization is given of those strongly continuous semigroups T ( t ) T(t) for which the function ∫ 0 t T ( t − s ) f ( s ) d s \int _0^tT(t - s)f(s)ds is ...
openaire +1 more source