Explicit solutions for second order operator differential equations with two boundary value conditions

DOI10.1016/0024-3795(88)90221-2zbMath0651.34062OpenAlexW4205982011MaRDI QIDQ1106388

Lucas Jodar

Publication date: 1988

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90221-2

zbMATH Keywords

algebraic equationGreen operator function

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10) Ordinary differential operators (34L99)

Related Items (9)

Analytic solution with a priori error bounds for a class of mixed coupled partial differential equations ⋮ Constructive solution of strongly coupled continuous hyperbolic mixed problems. ⋮ Numerical solution with a priori error bounds of coupled time dependent hyperbolic systems ⋮ Explicit solutions for second-order operator differential equations with two boundary-value conditions. II ⋮ Solving coupled systems of linear second-order differential equations knowing a part of the spectrum of the companion matrix ⋮ Constructing eigenfunctions of non-selfadjoint coupled parabolic boundary problems ⋮ Some applications of the Hermite matrix polynomials series expansions ⋮ Closed form general solution of the hypergeometric matrix differential equation ⋮ Numerical solutions with a priori error bounds for coupled self-adjoint time dependent partial differential systems

Cites Work

• Factorization of matrix polynomials with multiple roots
• On factorization of operator polynomials and analytic operator functions
• Boundary value problems for second-order differential operator equations
• Infinite systems of ordinary differential equations with unbounded coefficients and moment problems
• On the theory of infinite systems of differential equations and their application to the theory of stochastic processes and the perturbation theory of quantum mechanics
• Infinite Systems of Differential Equations
• Infinite Systems of Differential Equations II
• ON DIFFERENTIAL-OPERATOR EQUATIONS OF SECOND ORDER
• ON SOME DIFFERENTIAL-OPERATOR EQUATIONS OF ARBITRARY ORDER
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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