Results 1 to 10 of about 712,412 (236)
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.
Maksim V. Kukushkin
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Mathematics, 2021 We obtained results on the existence and uniqueness of a mild solution for a fractional-order semi-linear differential inclusion in a Hilbert space whose right-hand side contains an unbounded linear monotone operator and a Carathéodory-type multivalued ...
Mikhail Kamenskii +3 more
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ON HILBERT UNIQUENESS METHOD: A SEMIGROUP APPROACH
IFAC Proceedings Volumes, 1989 A generalized version of Hilbert uniqueness method (HUM] developed by Lions for hyperbolic systems and Belfekih − El Jai for parabolic systems is proposed. The approach is based on semigroup theory and applies for both parabolic and hyperbolic systems.
L. Berrahmoune, A. El Jai
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Boundary Value Problems, 2023 In this paper, we consider an acoustic equation with incomplete data, where the bulk modulus coefficient and initial conditions are partially known. Our goal is to get information about the bulk modulus coefficient independently of the initial conditions
Billal Elhamza, Abdelhak Hafdallah
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Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this work we consider a partial integro-differential equation. We reformulate it a functional integro-differential equation in a suitable Hilbert space. We apply the method of lines to establish the existence and uniqueness of a strong solution.
Dhirendra Bahuguna, J. Dabas
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Investigation on integro-differential equations with fractional boundary conditions by Atangana-Baleanu-Caputo derivative. [PDF]
PLoS ONEWe establish, the existence and uniqueness of solutions to a class of Atangana-Baleanu (AB) derivative-based nonlinear fractional integro-differential equations with fractional boundary conditions by using special type of operators over general Banach ...
Samy A Harisa +4 more
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A BSDEs approach to pathwise uniqueness for stochastic evolution equations [PDF]
Journal of Differential Equations, 2021 We prove strong well-posedness for a class of stochastic evolution equations in Hilbert spaces H when the drift term is Holder continuous. This class includes examples of semilinear stochastic damped wave equations which describe elastic systems with ...
Davide Addona, F. Masiero, E. Priola
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Stochastic differential equations in a scale of Hilbert spaces. Global solutions [PDF]
Electronic Communications in Probability, 2021 A stochastic differential equation with coefficients defined in a scale of Hilbert spaces is considered. The existence, uniqueness and path-continuity of infinite-time solutions is proved by an extension of the Ovsyannikov method.
Georgy Chargaziya, A. Daletskii
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Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary
Mathematics, 2023 In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases.
Lizhi Cui, Jing Lu
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Mathematics, 2023 Controllability is a basic problem in the study of stochastic generalized systems. Compared with ordinary stochastic systems, the structure of stochastic singular systems is more complex, and it is necessary to study the controllability of stochastic ...
Zhao-qiang Ge
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