Existence and Stability of the Solution of a Nonlinear Boundary Value Problem | Zendy

Agneta M. Bálint | Zendy; Štefan Bálint | Zendy

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Existence and Stability of the Solution of a Nonlinear Boundary Value Problem

Author(s) -

Agneta M. Bálint,

Štefan Bálint

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/582746

Subject(s) - mathematics , boundary value problem , mathematical analysis , nonlinear system , stability (learning theory) , laplace's equation , instability , laplace transform , capillary action , mechanics , physics , quantum mechanics , machine learning , computer science , thermodynamics

The purpose is to find conditions assuring the existence of solutions for a nonlinear, boundary value problem in case of the axis-symmetric Young-Laplace differential equation. The equation describes the capillary surface between two static fluids. Necessary or sufficient conditions are found for the existence of a solution. The static stability of the obtained solution is also analyzed and stability or instability results are revealed. For the NdYAG microfiber growth, by the pulling-down method, numerical illustrations are given

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