Results 11 to 20 of about 66 (62)
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
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On the decoupled Markov group conjecture
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 240-247, February 2021., 2021 Abstract The Markov group conjecture, a long‐standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup T=(Tt)t∈[0,∞) on ℓ1 has bounded generator if the operator T1 is bijective. Attempts to disprove the conjecture have often aimed at glueing together finite‐dimensional matrix
Jochen Glück
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Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type [PDF]
, 2017 International audienceThe convergence behaviour of multi-revolution composition methods combined with time-splitting methods is analysed for highly oscillatory linear differential equations of Schrödinger type.
Thalhammer, Mechthild +7 more
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Carleman estimates and unique continuation property for abstract elliptic equations [PDF]
, 2012 The unique continuation theorems for elliptic differential-operator equations with variable coefficients in vector-valued L (p) -space are investigated. The operator-valued multiplier theorems, maximal regularity properties and the Carleman estimates for
Shakhmurov, Veli B., Veli B Shakhmurov
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Singular degenerate problems occurring in biosorption process [PDF]
, 2013 The boundary value problems for singular degenerate arbitrary order differential-operator equations with variable coefficients are considered. The uniform coercivity properties of ordinary and partial differential equations with small parameters are ...
Shakhmurov, Veli B. +3 more
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Université de laMéditerranée (Aix-Marseille II) Centre de Physique Théorique- UMR 6207 [PDF]
, 2007 The paper is devoted to the problem of existence of propagators for an abstract linear non-autonomous evolution Cauchy problem of hyperbolic type in separable Banach spaces.
Zagrebnov, Valentin A. +3 more
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On almost automorphic solutions of linear operational‐differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1179-1182, 2004., 2004 We prove almost periodicity and almost automorphy of bounded solutions of linear differential equations x′(t) = Ax(t) + f(t) for some class of linear operators acting in a Banach space.
Gaston M. N′Guérékata
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On a higher‐order evolution equation with a Stepanov‐bounded solution
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 3959-3964, 2004., 2004 We study strong solutions u : ℝ → X, a Banach space X, of the nth‐order evolution equation u(n) − Au(n−1) = f, an infinitesimal generator of a strongly continuous group A : D(A)⊆X → X, and a given forcing term f : ℝ → X. It is shown that if X is reflexive, u and u(n−1) are Stepanov‐bounded, and f is Stepanov almost periodic, then u and all derivatives ...
Aribindi Satyanarayan Rao
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 45, Page 2401-2422, 2004., 2004 Necessary and sufficient conditions for a scalar type spectral operator in a Banach space to be a generator of an infinite differentiable or a Gevrey ultradifferentiable C0‐semigroup are found, the latter formulated exclusively in terms of the operator′s spectrum.
Marat V. Markin
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The fundamental solutions for fractional evolution equations of parabolic type
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 197-211, 2004., 2004 The fundamental solutions for linear fractional evolution equations are obtained. The coefficients of these equations are a family of linear closed operators in the Banach space. Also, the continuous dependence of solutions on the initial conditions is studied. A mixed problem of general parabolic partial differential equations with fractional order is
Mahmoud M. El-Borai
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