Two-point higher-order BVPs with singularities in phase variables

Donal O'Regan

doi:10.1016/S0898-1221(03)00405-X

Two-point higher-order BVPs with singularities in phase variables

Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

The existence of solutions for singular higher-order differential equations with the Lidstone or the (n,p) boundary conditions is proved. The right-hand sides of differential equations can have singularities in the zero value of their phase variables and so higher derivatives of solutions changing their signs can pass through these singularities. Proofs are based on the method of a priori estimates, the degree theory arguments and on Vitalis convergence theorem. (C) 2003 Elsevier Ltd. All rights reserved.

Original language	English (Ireland)
Number of pages	28
Journal	Computers & Mathematics With Applications
Volume	46
DOIs	https://doi.org/10.1016/S0898-1221(03)00405-X
Publication status	Published - 1 Dec 2003

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP,O'Regan, D,Rachunkova, I,Stanek, S

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10.1016/S0898-1221(03)00405-X

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title = "Two-point higher-order BVPs with singularities in phase variables",

abstract = "The existence of solutions for singular higher-order differential equations with the Lidstone or the (n,p) boundary conditions is proved. The right-hand sides of differential equations can have singularities in the zero value of their phase variables and so higher derivatives of solutions changing their signs can pass through these singularities. Proofs are based on the method of a priori estimates, the degree theory arguments and on Vitalis convergence theorem. (C) 2003 Elsevier Ltd. All rights reserved.",

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AB - The existence of solutions for singular higher-order differential equations with the Lidstone or the (n,p) boundary conditions is proved. The right-hand sides of differential equations can have singularities in the zero value of their phase variables and so higher derivatives of solutions changing their signs can pass through these singularities. Proofs are based on the method of a priori estimates, the degree theory arguments and on Vitalis convergence theorem. (C) 2003 Elsevier Ltd. All rights reserved.

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JO - Computers & Mathematics With Applications

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ER -

Two-point higher-order BVPs with singularities in phase variables

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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