Lyapunov-type inequalities for \(2M\)th order equations under clamped-free boundary conditions

DOI10.1186/1029-242X-2012-242zbMath1282.34026OpenAlexW2105985389WikidataQ59272739 ScholiaQ59272739MaRDI QIDQ385831

Kohtaro Watanabe, Atsushi Nagai, Kazuo Takemura, Yoshinori Kametaka, Hiroyuki Yamagishi

Publication date: 11 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-242

zbMATH Keywords

Sobolev inequality

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05)

Related Items (1)

The best constant of \(L^p\) Sobolev inequality including \(j\)-th derivative corresponding to periodic and Neumann boundary value problem for \((-1)^M(d/dx)^{2M}\)

Cites Work

• Riemann zeta function and Lyapunov-type inequalities for certain higher order differential equations
• Lyapunov-type integral inequalities for certain higher order differential equations
• The best constant of Sobolev inequality corresponding to clamped-free boundary value problem for \((-1)^M(d/dx)^{2M}\)
• Green's function for n-n boundary value problem and an analogue of Hartman's result
• On Lyapunov-type inequality for third-order differential equations
• On inequalities of Lyapunov type
• On Lyapunov-type inequalities for certain higher order differential equations
• Lyapunov-type inequality for a class of even-order differential equations

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