How the constants in Hille-Nehari theorems depend on time scales.
Řehák, Pavel (2006)
Advances in Difference Equations [electronic only]
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Displaying similar documents to “Hardy inequality on time scales and its application to half-linear dynamic equations.”
How the constants in Hille-Nehari theorems depend on time scales.
On certain comparison theorems for half-linear dynamic equations on time scales.
Řehák, Pavel (2004)
Abstract and Applied Analysis
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Hille-Kneser-type criteria for second-order dynamic equations on time scales.
Erbe, Lynn, Peterson, Allan C., Saker, Samir H. (2006)
Advances in Difference Equations [electronic only]
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Forced oscillation of second order nonlinear dynamic equations on time scales.
Huang, M., Feng, W. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Oscillation criteria for second-order forced dynamic equations with mixed nonlinearities.
Agarwal, Ravi P., Zafer, A. (2009)
Advances in Difference Equations [electronic only]
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A role of the coefficient of the differential term in qualitative theory of half-linear equations
Pavel Řehák (2010)
Mathematica Bohemica
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The aim of this contribution is to study the role of the coefficient in the qualitative theory of the equation , where with . We discuss sign and smoothness conditions posed on , (non)availability of some transformations, and mainly we show how the behavior of , along with the behavior of the graininess of the time scale, affect some comparison results and (non)oscillation criteria. At the same time we provide a survey of recent results acquired by sophisticated modifications...
New equivalent conditions for Hardy-type inequalities
Alois Kufner, Komil Kuliev, Gulchehra Kulieva, Mohlaroyim Eshimova (2024)
Mathematica Bohemica
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We consider a Hardy-type inequality with Oinarov's kernel in weighted Lebesgue spaces. We give new equivalent conditions for satisfying the inequality, and provide lower and upper estimates for its best constant. The findings are crucial in the study of oscillation and non-oscillation properties of differential equation solutions, as well as spectral properties.
Oscillation of second-order forced nonlinear dynamic equations on time scales.
Saker, S.H. (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Nonoscillation Criteria for Two-Dimensional Time-Scale Systems
Özkan Öztürk, Elvan Akın (2016)
Nonautonomous Dynamical Systems
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We study the existence and nonexistence of nonoscillatory solutions of a two-dimensional systemof first-order dynamic equations on time scales. Our approach is based on the Knaster and Schauder fixed point theorems and some certain integral conditions. Examples are given to illustrate some of our main results.