### Exponential stability of two coupled second-order evolution equations.

Wan, Qian, Xiao, Ti-Jun (2011)

Advances in Difference Equations [electronic only]

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Wan, Qian, Xiao, Ti-Jun (2011)

Advances in Difference Equations [electronic only]

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Panigrahi, S. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Donal O'Regan (1998)

Czechoslovak Mathematical Journal

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Existence results are established for the resonant problem ${y}^{\text{'}\text{'}}+{\lambda}_{m}\phantom{\rule{0.166667em}{0ex}}a\phantom{\rule{0.166667em}{0ex}}y=f(t,y)$ a.e. on $[0,1]$ with $y$ satisfying Dirichlet boundary conditions. The problem is singular since $f$ is a Carathéodory function, $a\in {L}_{\mathrm{l}oc}^{1}(0,1)$ with $a>0$ a.e. on $[0,1]$ and ${\int}_{0}^{1}x(1-x)a\left(x\right)\phantom{\rule{0.166667em}{0ex}}\mathrm{d}x<\infty $.

Chen, Lian-Ying, Zhao, Chang-Jian, Cheung, Wing-Sum (2010)

Journal of Inequalities and Applications [electronic only]

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Sim, Inbo, Lee, Yong-Hoon (2010)

Journal of Inequalities and Applications [electronic only]

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N. Parhi, S. Panigrahi (2002)

Czechoslovak Mathematical Journal

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A Liapunov-type inequality for a class of third order delay-differential equations is derived.

Oinarov, R., Rakhimova, S.Y. (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Agarwal, R.P., Kiguradze, I. (2006)

Boundary Value Problems [electronic only]

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Yong, Jiongmin (2004)

Journal of Applied Mathematics and Stochastic Analysis

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Rouhani, Behzad Djafari, Khatibzadeh, Hadi (2007)

Journal of Inequalities and Applications [electronic only]

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