Results 11 to 20 of about 958 (80)
On the uniform exponential stability of linear skew‐product semiflows
Journal of Function Spaces, Volume 4, Issue 2, Page 145-161, 2006., 2006 The problem of uniform exponential stability of linear skew‐product semiflows on locally compact metric space with Banach fibers, is discussed. It is established a connection between the uniform exponential stability of linear skewproduct semiflows and some admissibility‐type condition.
Ciprian Preda, Björn Birnir
wiley +1 more source
Method of semidiscretization in time for quasilinearintegrodifferential equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 469-478, 2004., 2004 We consider a class of quasilinear integrodifferential equations in a reflexive Banach space. We apply the method of semidiscretization in time to establish the existence, uniqueness, and continuous dependence on the initial data of strong solutions.
D. Bahuguna, Reeta Shukla
wiley +1 more source
The Weiss conjecture on admissibility of observation operators for contraction semigroups [PDF]
, 2001 We prove the conjecture of George Weiss for contraction semigroups on Hilbert spaces, giving a characterization of infinite-time admissible observation functionals for a contraction semigroup, namely that such a functional C is infinite-time admissible ...
A. Simard +13 more
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Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 213-219, 2004., 2004 In the present work, we consider a semilinear retarded differential equation in a Banach space. We first establish the existence and uniqueness of a mild solution and then prove its regularity under different additional conditions. Finally, we consider some applications of the abstract results.
D. Bahuguna
wiley +1 more source
Operator splitting for nonautonomous delay equations [PDF]
, 2012 We provide a general product formula for the solution of nonautonomous abstract delay equations. After having shown the convergence we obtain estimates on the order of convergence for differentiable history functions. Finally, the theoretical results are
Bátkai, András +2 more
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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
wiley +1 more source
Coagulation and fragmentation processes with evolving size and shape profiles : a semigroup approach [PDF]
, 2013 We investigate a class of bivariate coagulation-fragmentation equations. These equations describe the evolution of a system of particles that are characterised not only by a discrete size variable but also by a shape variable which can be either discrete
A. C. McBride +15 more
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Laplace transform generation theorems and local Cauchy problems
Abstract and Applied Analysis, Volume 2004, Issue 1, Page 69-90, 2004., 2004 We give new criterions to decide if some vector‐valued function is a local Laplace transform and apply this to the theory of local Cauchy problems. This leads to an improvement of known results and new Hille‐Yosida‐type theorems for local convoluted semigroups.
Claus Müller
wiley +1 more source
Open Mathematics, 2019 It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
doaj +1 more source