Solving two-point boundary value problems for the non monic regular matrix differential equation
Navarro, E., Jódar, L. (1991)
Portugaliae mathematica
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Displaying similar documents to “Explicit solutions for boundary value problems related to the operator equations ”
Solving two-point boundary value problems for the non monic regular matrix differential equation
An algebraic approach for solving boundary value matrix problems: existence, uniqueness and closed form solutions.
Lucas A. Jódar Sanchez (1988)
Revista Matemática de la Universidad Complutense de Madrid
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In this paper we show that in an analogous way to the scalar case, the general solution of a non homogeneous second order matrix differential equation may be expressed in terms of the exponential functions of certain matrices related to the corresponding characteristic algebraic matrix equation. We introduce the concept of co-solution of an algebraic equation of the type X^2 + A1.X + A0 = 0, that allows us to obtain a method of the variation of the parameters for the matrix case and...
The equivalence of some integral equations and boundary value problems
Jiří Cerha (1974)
Časopis pro pěstování matematiky
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A new look at boundary perturbations of generators.
Nickel, Gregor (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Boundary-Value Problems for almost Nonlinear Singularly Perturbed Systems of Ordinary Differential Equations
Karandjulov, L., Stoyanova, Y. (2000)
Serdica Mathematical Journal
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A boundary-value problems for almost nonlinear singularly perturbed systems of ordinary differential equations are considered. An asymptotic solution is constructed under some assumption and using boundary functions and generalized inverse matrix and projectors.
Guided waves in a fluid layer on an elastic irregular bottom.
Andrés Fraguela Collar (1996)
Publicacions Matemàtiques
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In this paper one considers the linearized problem to determine the movement of an ideal heavy fluid contained in an unbounded container withelastic walls. As initial data one knows the movement of both the bottom and the free surface of the fluid and also the strength of certain perturbation, strong enough to take the bottom out of its rest state. One important point to be considered regards the influence of the bottom’s geometry on the propagation of superficial waves....