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Your search keyword '"Kaymakçalan, Billûr"' showing total 2 results
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2 results on '"Kaymakçalan, Billûr"'

1. Basics of diamond- partial dynamic calculus on time scales

Author

Özkan, Umut Mutlu and Kaymakçalan, Billûr

Subjects
*INTEGRAL calculus, *INTEGRAL inequalities, *TIME series analysis, *MATHEMATICAL analysis, *MATHEMATICAL inequalities, *DIFFERENTIAL equations
Abstract

Abstract: In this paper we introduce partial diamond- dynamic derivatives for two-variable functions and the double integral calculus via the diamond- dynamic integral on time scales. Also we establish a two-dimensional weighted Hardy–Knopp type integral inequality on time scales. [Copyright &y& Elsevier]

Published
2009
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2. On the oscillation of certain second order nonlinear dynamic equations

Author

Grace, Said R., Agarwal, Ravi P., Kaymakçalan, Bi̇llûr, and Sae-jie, Wichuta

Subjects
*OSCILLATION theory of difference equations, *NUMERICAL solutions to nonlinear differential equations, *CONTINUOUS functions, *DIFFERENTIABLE dynamical systems, *MATHEMATICAL analysis, *NONLINEAR theories
Abstract

Abstract: We establish some new oscillation criteria for solutions to the second order nonlinear dynamic equation on an arbitrary time scale , where and are ratios of positive odd integers, and are positive rd-continuous functions on . The results are obtained when or . These criteria unify and extend known results for the corresponding half-linear and nonlinear differential and difference equations. Some of our results are new even in the continuous and discrete cases. [Copyright &y& Elsevier]

Published
2009
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