Lyapunov, Opial and Beesack inequalities for one-dimensional p( t)-Laplacian equations

We generalize the classical Lyapunov, Opial and Beesack inequalities for one-dimensional differential equations to nonstandard growth p( t)-Laplacian.

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Veröffentlicht in:	Applied mathematics and computation 2010-08, Vol.216 (12), p.3459-3467
Hauptverfasser:	Mashiyev, R.A., Alisoy, G., Ogras, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Computation Differential equations Exact sciences and technology Generalized Lyapunov Hölder type inequality Inequalities Mathematical analysis Mathematical models Mathematics Nonstandard growth Numerical analysis Numerical analysis. Scientific computation Opial and Beesack inequalities Ordinary differential equations p( t)-Laplacian Sciences and techniques of general use Variable exponent Lebesgue space
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Beschreibung
Zusammenfassung:	We generalize the classical Lyapunov, Opial and Beesack inequalities for one-dimensional differential equations to nonstandard growth p( t)-Laplacian.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2010.04.028