Results 41 to 50 of about 722,802 (181)
Differentiability of solutions of abstract neutral integro- differential equations
Journal of Integral Equations and Applications, 2013 This work is concerned with the regularity properties of solutions of abstract neutral integro-differential equations with infinite delay. The results are obtained by using a resolvent operator. Some different cases are discussed when the space is reflexive or has the Radon-Nikodym property.
Henríquez, Hernán R. +1 more
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A note on almost periodic solutions of semilinear equations in Banach spaces
Electronic Journal of Differential Equations, 2006 In this article, we generalize the main result obtained by Bahaj [1]. Also our proof is shorter than the original proof.
Lan Nguyen
doaj
Existence of extremal solutions for discontinuous Stieltjes differential equations
Journal of Inequalities and Applications, 2020 Stieltjes differential equations, which contain equations with impulses and equations on time scales as particular cases, simply consist in replacing usual derivatives by derivatives with respect to a nondecreasing function.
Rodrigo López Pouso +1 more
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, 2016 Stochastic differential equations describe well many physical, biological and sociological systems, despite the simplification often made in their derivation. Here the usage of simple stochastic differential equations to characterize and classify complex
Enßlin, Torsten A. +3 more
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Analytical method for solving linear abstract differential equations of order n
Partial Differential Equations in Applied MathematicsIn this paper, the concept of point-wise independent set of closed operators is introduced. The new concept together with the use of Hahn–Banach Theorem enable us to reduce an inhomogeneous linear abstract differential equation of order n namely, Anu(n ...
Waseem Ghazi Alshanti +3 more
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International Journal of Mathematics and Mathematical Sciences, 1998 Based on our preceding paper, this note is concerned with the exponential stability of the solution semigroup for the abstract linear autonomous functional differential equation x˙(t)=L(xt) (∗) where L is a continuous linear ...
Jin Liang, Falun Huang, Tijun Xiao
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Approximation of inverse problems for fractional differential equations in abstract spaces
Alexandria Engineering JournalThis article focuses on approximating a fractional-order inverse problem (IP) for an abstract differential equation in a Hilbert space. The main tools to find out the results are fixed-point methods, the α-resolvent family, and optimal control (OC ...
Santosh Ruhil +3 more
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On the regularity of mild solutions to complete higher order differential equations on Banach spaces [PDF]
Surveys in Mathematics and its Applications, 2015 For the complete higher order differential equation u(n)(t)=Σk=0n-1Aku(k)(t)+f(t), t∈ R (*) on a Banach space E, we give a new definition of mild solutions of (*). We then characterize the regular admissibility of a translation invariant subspace al M of
Nezam Iraniparast, Lan Nguyen
doaj
Abstract random differential equations with state-dependent delay using measures of noncompactness
Nonlinear AnalysisThis paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay.
Amel Heris +4 more
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Bounded Solutions of Some Abstract Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1969 there followAs the existence of a sequence (tn)r -oo, such that SUPn;N Czu(tn)1x to, the function u(t) admits the representation u(t) = T(t-to)u(to). Also, a well-known fact is that (Xo-A)-1T(t) = T(t)(Xo-A)-1. Let us put now: w(t) = (Xo-A)-lu(t); obviously sequence {Io(tn) }l contains a convergent subsequence C0(tn)jCX, and co(t) = T(t-to)0(to), Vt_to.
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