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Asymptotic stability of a perturbed abstract differential equations in Banach spaces [PDF]
Operators and Matrices, 2020 Summary: This paper is mainly concerned with the asymptotic stability of the solutions of a perturbed abstract differential equation in Banach spaces. Let \(A\) be a generator of an exponentially stable operator semigroup and let \(C(t)\), \(t\geqslant 0\) be a linear bounded variable operator.
Damak, Hanen, Hammami, Mohamed Ali
openaire +2 more sources
, 2021 This chapter presents the study of the stability theory for generalized ordinary differential equations (ODEs). The results on the stability of the trivial solution in the framework of the generalized ODE are inspired in the theory, developed by ...
Bonotto, Everaldo M. +15 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2006 In this paper we consider the semilinear differential equation with deviated argument in a Fréchet space $x^{\prime}(t) = A x(t) + f(t, x(t), x[\alpha(x(t),t)]),$ $t \in {\mathbb{R}}$, where $A$ is the infinitesimal (bounded) generator of a $C_{0 ...
C. Gal
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Embedding Operators in Vector-Valued Weighted Besov Spaces and Applications
Journal of Function Spaces and Applications, 2012 The embedding theorems in weighted Besov-Lions type spaces 𝐵𝑙,𝑠𝑝,𝑞,𝛾 (Ω;𝐸0,𝐸) in which 𝐸0,𝐸 are two Banach spaces and 𝐸0⊂𝐸 are studied. The most regular class of interpolation space 𝐸𝛼 between 𝐸0 and E is found such that the mixed differential operator ...
Veli Shakhmurov
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A Class of Quasilinear Equations with Riemann–Liouville Derivatives and Bounded Operators
Axioms, 2022 The existence and uniqueness of a local solution is proved for the incomplete Cauchy type problem to multi-term quasilinear fractional differential equations in Banach spaces with Riemann–Liouville derivatives and bounded operators at them.
Vladimir E. Fedorov +2 more
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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
First-Order Regular and Degenerate Identification Differential Problems
Abstract and Applied Analysis, 2015 We are concerned with both regular and degenerate first-order identification problems related to systems of differential equations of weakly parabolic type in Banach spaces. Several applications to partial differential equations and systems will be given
A. Favini, A. Lorenzi, H. Tanabe
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Approximate solutions of hybrid stochastic pantograph equations with Levy jumps [PDF]
, 2013 We investigate a class of stochastic pantograph differential equations with Markovian switching and Levy jumps. We prove that the approximate solutions converge to the true solutions in 퐿 2 sense as well as in probability under local Lipschitz condition ...
Mao, Wei +3 more
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Nonlinear Young Differential Equations: A Review [PDF]
, 2023 Nonlinear Young integrals have been first introduced in Catellier and Gubinelli (Stoch Process Appl 126(8):2323–2366, 2016) and provide a natural generalisation of classical Young ones, but also a versatile tool in the pathwise study of ...
Lucio Galeati, Galeati L
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Continuous Dependence on Parameters
, 2021 This chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space.
Suzete M. Afonso +7 more
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