Existence theory for the equations (G′(y))′ = qf(t, y, y′) and (G′(y) - pH(y))′ = - p′H(y) + qf(t, y)

Donal Oregan

doi:10.13025/24205

Existence theory for the equations (G′(y))′ = qf(t, y, y′) and (G′(y) - pH(y))′ = - p′H(y) + qf(t, y)

Donal Oregan

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Abstract

Existence results are reported for second-order problems of the form (G′(y))′ = qf(t, y, y′) and (G′(y) - pH(y))′ = - p′H(y) + qf(t, y) with y satisfying Dirichlet or mixed boundary data. A Bernstein-Nagumo theory and a theory based on L^p norms is presented.

Original language	English
Pages (from-to)	435-470
Number of pages	36
Journal	Journal of Mathematical Analysis and Applications
Volume	183
Issue number	2
DOIs	https://doi.org/10.13025/24205 https://doi.org/10.1006/jmaa.1994.1153
Publication status	Published - Apr 1994

Keywords

2nd
Externally hosted open access publications with University of Galway authors
systems

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10.13025/24205Licence: CC BY
10.1006/jmaa.1994.1153

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PY - 1994/4

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N2 - Existence results are reported for second-order problems of the form (G′(y))′ = qf(t, y, y′) and (G′(y) - pH(y))′ = - p′H(y) + qf(t, y) with y satisfying Dirichlet or mixed boundary data. A Bernstein-Nagumo theory and a theory based on Lp norms is presented.

AB - Existence results are reported for second-order problems of the form (G′(y))′ = qf(t, y, y′) and (G′(y) - pH(y))′ = - p′H(y) + qf(t, y) with y satisfying Dirichlet or mixed boundary data. A Bernstein-Nagumo theory and a theory based on Lp norms is presented.

KW - 2nd

KW - Externally hosted open access publications with University of Galway authors

KW - systems

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UR - https://www.scopus.com/pages/publications/7044282746

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Existence theory for the equations (G′(y))′ = qf(t, y, y′) and (G′(y) - pH(y))′ = - p′H(y) + qf(t, y)

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