FINITE SYSTEM OF DISCRETE STURM-LIOUVILLE EQUATIONS WITH SPECTRAL SINGULARITIES AND A GENERAL BOUNDARY CONDITION

ABSTRACTThe complex variable method is applied to obtain solutions for the deflexion of a supported circular plate with uniform line loading along an eccentric circle under a general boundary condition including the clamped boundary , a boundary with zero peripheral couple , a boundary with equal boundary cross-couples , a hinged boundary and a boundary for which , η being Poisson's ratio. These solutions are used to obtain the deflexion at any point of a circular plate having an eccentric circular patch symmetrically loaded with respect to its centre. Expressions for the slope and cross-couples over the boundary and the deflexions at the centres of the plate and the loaded patch are obtained.

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ESTIMATES OF SOLUTIONS OF IMPULSIVE PARABOLIC EQUATIONS AND APPLICATION

International Journal of Biomathematics ◽

10.1142/s1793524508000217 ◽

2008 ◽

Vol 01 (02) ◽

pp. 257-266

Author(s):

GUOHUA SONG

Keyword(s):

Boundary Condition ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Parabolic Equations ◽

Population Biology ◽

Model Problem ◽

General Boundary ◽

General Boundary Condition ◽

Estimates Of Solutions

This paper is concerned with the estimates of solutions for an impulsive parabolic equations under general boundary condition. We prove that the solutions of impulsive parabolic equations can be controlled and estimated by the solutions of dominating impulsive ordinary differential equations. We also apply the above results to a model problem arising from population biology.

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Analytic solution for finite linear chain with two general impurities under general boundary condition

Physica B Condensed Matter ◽

10.1016/s0921-4526(02)00452-0 ◽

2002 ◽

Vol 316-317 ◽

pp. 178-181

Author(s):

J.S. Kim ◽

K.H. Lee ◽

C.Y. Song

Keyword(s):

Boundary Condition ◽

Analytic Solution ◽

Linear Chain ◽

General Boundary ◽

General Boundary Condition ◽

Finite Linear

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Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions

Abstract and Applied Analysis ◽

10.1155/2011/358912 ◽

2011 ◽

Vol 2011 ◽

pp. 1-12 ◽

Cited By ~ 2

Author(s):

Nihal Yokuş

Keyword(s):

Boundary Condition ◽

Boundary Conditions ◽

Differential Expression ◽

Spectral Singularities ◽

Sturm Liouville ◽

Eigenvalue Dependent Boundary Conditions ◽

Complex Valued

We consider the operator generated in by the differential expression , and the boundary condition , where is a complex-valued function and , with . In this paper we obtain the properties of the principal functions corresponding to the spectral singularities of .

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