On solutions of one 6‐th order nonlinear boundary value problem
A special technique based on the analysis of oscillatory behaviour of linear equations is applied to investigation of a nonlinear boundary value problem of sixth order. We get the estimation of the number of solutions to boundary value problems of the type x(6) = f(t, x), x(a) = A, x′ (a) = A 1, x″(...
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Format: | Article |
Language: | English |
Published: |
Vilnius Gediminas Technical University
2008-09-01
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Series: | Mathematical Modelling and Analysis |
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Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/7019 |
Summary: | A special technique based on the analysis of oscillatory behaviour of linear equations is applied to investigation of a nonlinear boundary value problem of sixth order. We get the estimation of the number of solutions to boundary value problems of the type x(6) = f(t, x), x(a) = A, x′ (a) = A 1, x″(a) = A 2, x′″(a) = A 3, x(b) = B, x′(b) = B1 , where f is continuous together with the partial derivative f′x which is supposed to be positive. We assume also that at least one solution of the problem under consideration exists.
First Published Online: 14 Oct 2010 |
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ISSN: | 1392-6292 1648-3510 |