Results 61 to 70 of about 366 (188)
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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Asymptotically almost periodic and almost periodic solutions for a class of evolution equations
Electronic Journal of Differential Equations, 2004 In this paper we study the existence of asymptotically almost periodic and almost periodic solutions for the partial evolution equation $$ frac{d}{dt} (x(t)+g(t,x(t))=Ax(t)+f(t,Bx(t)), $$ where $A$ is the infinitesimal generator of an analytic semigroup ...
Eduardo Hernandez M. +2 more
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Notes on analytic convoluted C-semigroups
Publications de l'Institut Mathematique, 2010 We establish some new structural properties of exponentially bounded, analytic convoluted C-semigroups and state a version of Kato?s analyticity criterion for such a class of operator semigroups. Our characterizations completely cover the case of analytic fractionally integrated C-semigroups.
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Results in Applied MathematicsIn this paper, we investigate a coupled hyperbolic-elliptic chemotaxis system posed on a network under nonhomogeneous boundary conditions. First, the boundary data are homogenized via a linear transformation.
Yafeng Li
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Criteria for Analyticity of Multidimensionally Subordinated Semigroups
Journal of Mathematical SciencesLet $ψ$ be a Bernstein function in one variable. A.~Carasso and T.~Kato obtained necessary and sufficient conditions for $ψ$ to have a property that $ψ(A)$ generates a quasibounded holomorphic semigroup for every generator $A$ of a bounded $C_0$-semigroup in a Banach space and deduced necessary conditions as well.
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Electronic Journal of Differential Equations, 2010 In this work, we prove results on the local existence of mild solution and global continuation in the alpha-norm for some class of partial neutral differential equations. We suppose that the linear part generates a compact analytic semigroup.
Khalil Ezzinbi +2 more
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Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.
Abstract and Applied Analysis, 1998 We consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. We select the case of hinged mechanical B.C. and Neumann thermal B.C., which are coupled on the boundary.
Irena Lasiecka, Roberto Triggiani
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Analytic General Conformable Semigroup
International Journal of Analysis and ApplicationsConformable fractional derivative is introduced by [1] to simplify the definition of fractional derivatives since most of them used an integral form which is difficult to solve real problem. However, [1] defined the conformable fractional derivative by considering a particular conformable fractional function t1−α.
Nur Natasha Lim Boon Chye @ Mohd Hairie Lim +3 more
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Fixed Point Theory and Algorithms for Sciences and EngineeringThis paper presents the controllability and optimal control results for a structure with quasi-linear evolution in abstract spaces. First, the analytic semigroup theory was used to prove the existence and uniqueness of the quasilinear system ...
B. Radhakrishnan +3 more
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Some decay results in Timoshenko beam with microtemperatures of type III
Boundary Value ProblemsThe governing equations of the thermoelastic Timoshenko beam with microtemperatures are derived based on type III entropy balance. Our development of this theory is prompted by the increasing use of materials that exhibit thermal variations at the ...
Imed Kedim +2 more
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