Results 11 to 20 of about 225,971 (310)
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
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Stochastic Stability of Differential Equations in Abstract Spaces [PDF]
, 2019 The stability of stochastic differential equations in abstract, mainly Hilbert, spaces receives a unified treatment in this self-contained book. It covers basic theory as well as computational techniques for handling the stochastic stability of systems from mathematical, physical and biological problems.
Kai Liu
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Strong solutions for differential equations in abstract spaces
Journal of Differential Equations, 2005 The author considers in a sequentially complete locally convex space \((E,{\mathcal F})\) the initial value problem \[ u_t(t)= f(t, u(t)),\quad u(t_0)= u_0. \] The bounded elements of \(E\) are denoted by \[ E_b:= \Biggl\{x\in E:\| x\|_{{\mathcal F}}= \sup_{\rho\in{\mathcal F}}\,\rho(x)< \infty\Biggr\}.
E. Teixeira
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Completely integrable differential equations in abstract spaces [PDF]
Acta Mathematica, 1935 Michal, A. D., Elconin, V.
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Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces
Funkcialaj Ekvacioj, 2009 We prove existence and uniqueness of weak solutions to certain abstract evolutionary integro-differential equations in Hilbert spaces, including evolution equations of fractional order less than 1. Our results apply, e.g., to parabolic partial integro-differential equations in divergence form with merely bounded and measurable coefficients. AMS subject
Rico Zacher
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Monotone iterative method for abstract impulsive integro-differential equations with nonlocal conditions in Banach spaces [PDF]
Applications of Mathematics, 2014 The paper deals with the abstract impulsive problem of the form \[ \begin{aligned} & u'(t)+A\,u(t)=f(t,u(t),(Gu)(t)),\quad t\in [0,a]\setminus \{t_1,t_2,\dots ,t_m\},\\ & u(t_k+)=u(t_k)+I_k(u(t_k)),\quad k=1,2,\dots ,m,\\ & u(0)=x_0+g(u),\end{aligned}\tag{P} \] where ...
Chen, Pengyu, Li, Yongxiang
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Singular perturbations of differential equations in abstract spaces [PDF]
Pacific Journal of Mathematics, 1971 H. S. Nur
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Mathematics, 2016 In this paper, we study the problem of controllability of impulsive neutral evolution integro-differential equations with state-dependent delay in Banach spaces.
Dimplekumar Chalishajar +3 more
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Weak solutions for linear abstract differential equations in Banach spaces
Advances in Mathematics, 1970 D. Prato
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Evolution Equations in Hilbert Spaces via the Lacunae Method [PDF]
Fractal and Fractional, 2022 In this paper, we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation.
M. Kukushkin
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