Results 51 to 60 of about 378 (71)
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper investigates an abstract nonhomogeneous backward Cauchy problem governed by an unbounded linear operator in a Hilbert space H. The coefficient operator in the equation is assumed to be unbounded, self‐adjoint, positive, and to possess a discrete spectrum, with data prescribed at the final time t = T.
Nihed Teniou, Xian-Ming Gu
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International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 9, Page 573-578, 2002., 2002 In a Banach space, if u is a Stepanov almost periodic solution of a certain nth‐order infinitesimal generator and time‐dependent operator differential equation with a Stepanov almost periodic forcing function, then u, u′, …, u (n−2) are all strongly almost periodic and u (n−1) is weakly almost periodic.
Aribindi Satyanarayan Rao
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Solvable Systems of Linear Differential Equations
, 2009 The asymptotic iteration method (AIM) is an iterative technique used to find exact and approximate solutions to second-order linear differential equations.
A. Durmus +18 more
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A note on the spectral operators of scalar type and semigroups of bounded linear operators
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 10, Page 635-640, 2002., 2002 It is shown that, for the spectral operators of scalar type, the well‐known characterizations of the generation of C0‐ and analytic semigroups of bounded linear operators can be reformulated exclusively in terms of the spectrum of such operators, the conditions on the resolvent of the generator being automatically met and the corresponding semigroup ...
Marat V. Markin
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A Dichotomy for Ordinary Differential Equations in a Banach Space [PDF]
, 2010 A dichotomysimilar property for a class of homogeneous differential equations in an arbitrary Banach space is introduced.
Kiskinov, Hristo, Kostadinov, Stepan
core
Carleman estimates and unique continuation property for abstract elliptic equations
Boundary Value Problems, 2012 The unique continuation theorems for elliptic differential-operator equations with variable coefficients in vector-valued Lp-space are investigated. The operator-valued multiplier theorems, maximal regularity properties and the Carleman estimates for the
V. Shakhmurov
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Duality and semi-group property for backward parabolic Ito equations
, 2010 We study existence, uniqueness, semi-group property, and a priori estimates for solutions for backward parabolic Ito equations in domains with boundary. We study also duality between forward and backward equations.
Dokuchaev, Nikolai
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Lyapunov theorems for Banach spaces [PDF]
, 2011 The final version of this paper appears in: "Bulletin of the American Mathematical Society" 31 (1994): 44-49. Print.We present a spectral mapping theorem for semigroups on any Banach space E.
Latushkin, Yuri, 1956- +1 more
core
Abstract fractional integro-differential equations involving nonlocal initial conditions in
Advances in Difference Equations, 2011 In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm, where the operator A in the linear part is the generator of a compact analytic semigroup ...
Wang Rong-Nian, Liu Jun, Chen De-Han
doaj
Global controllability of a set of fractional differential equations
, 2011 In this paper we present the problem of global controllability (GC) of a set of fractional differential equation (SFDE).
R. Ibrahim
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