Results 11 to 20 of about 53,909 (198)
Operator matrices as generators of cosine operator functions [PDF]
Integral Equations and Operator Theory, 2010 We introduce an abstract setting that allows to discuss wave equations with time-dependent boundary conditions by means of operator matrices. We show that such problems are well-posed if and only if certain perturbations of the same problems with ...
Mugnolo, Delio
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On a cosine operator function framework of approximation processes in Banach space
Filomat, 2019 We introduce the cosine-type approximation processes in abstract Banach space setting. The historical roots of these processes go back to W. W. Rogosinski in 1926. The given new definitions use a cosine operator functions concept.
A. Kivinukk, A. Saksa, M. Zeltser
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Semigroups and cosine function of normal operators in Hilbert spaces [PDF]
Časopis pro pěstování matematiky, 1968 M. Sova
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Fractal and Fractional, 2021 This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour +4 more
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Extremal solutions for fractional evolution equations of order $ 1 < \gamma < 2 $
AIMS Mathematics, 2023 This manuscript considers a class of fractional evolution equations with order $ 1 < \gamma < 2 $ in ordered Banach space. Based on the theory of cosine operators, this paper extends the application of monotonic iterative methods in this type of ...
Qiang Li , Jina Zhao
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ON THE COLLECTIVE COMPACTNESS OF STRONGLY CONTINUOUS SEMIGROUPS AND COSINE FUNCTIONS OF OPERATORS
Taiwanese Journal of Mathematics, 1998 Let \(T(t)\), \(C(t)\), and \(S(t)\), \(t\in\mathbb{R}\) be the strongly continuous semigroup, the cosine function, and sine function of linear operators defined on a Banach complex space \(X\), and \(A\) be their infinitesimal generator. The author obtains fine criteria for the collective compactness of \(T(t)- I\), \(C(t)- I\), \(S(t)- I\) in terms ...
H. Henríquez
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Catalan Generating Functions for Generators of Uni-parametric Families of Operators
Mediterranean Journal of Mathematics, 2022 In this paper we study solutions of the quadratic equation $$AY^2-Y+I=0$$ A Y 2 - Y + I = 0 where A is the generator of a one parameter family of operator ( $$C_0$$ C 0 -semigroup or cosine functions) on a Banach space X with growth bound $$w_0 \le \frac{
Alejandro Mahillo, P. Miana
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A Multiple Mechanism Enhanced Arithmetic Optimization Algorithm for Numerical Problems
Biomimetics, 2023 The Arithmetic Optimization Algorithm (AOA) is a meta-heuristic algorithm inspired by mathematical operators, which may stagnate in the face of complex optimization issues. Therefore, the convergence and accuracy are reduced.
Sen Yang +4 more
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Journal of Inequalities and Applications, 2022 This paper is devoted to studying the approximate controllability for second-order impulsive differential inclusions with infinite delay. For proving the main results, we use the results related to the cosine and sine function of operators, Martelli’s ...
Kottakkaran Sooppy Nisar +1 more
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On the one spectral relation for the analytic function of operator
Journal of Nonlinear Science and its Applications, 2022 In this work, some estimates for the difference number between operator norm and spectral radius of analytic functions of linear bounded Hilbert space operators via difference numbers of powers of corresponding Hilbert space operators have been obtained.
Z. İsmai̇lov, Otkun C¸evik
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