Sufficient conditions for regular solvability of an arbitrary order operator-differential equation with initial-boundary conditions

DOI10.1186/s13662-020-02557-5zbMath1482.34142OpenAlexW3028734502WikidataQ115241373 ScholiaQ115241373MaRDI QIDQ2057453

Abdel Baset I. Ahmed, Mohamed A. Labeeb, Nashat Faried

Publication date: 6 December 2021

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02557-5

zbMATH Keywords

Hilbert spaceintegral operatorinitial-boundary value problemsregular solvabilitybounded operatorspectral resolutionpositive-definite operator

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Functional-differential and differential-difference operators (47E07)

Cites Work

• Lectures on functional analysis and the Lebesgue integral. Translated from the French by the author
• Solvability and completeness of solutions of parabolic differential-operator equations
• To the theory of operator-differential equations of the second order
• On essentially nonlinear dynamics of arches and rings
• Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation
• On the solvability of the boundary-value problem for second-order equations in Hilbert space with an operator coefficient in the boundary condition
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