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Directional -derivative and Curves on n-dimensional Time Scales

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Abstract

The general ideal in this paper is to study a differential calculus for multivariable functions, directional -derivative and curves of parametric equations on n-dimensional time scales.

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References

  1. Ahlbrandt, C.D., Bohner, M., Ridenhour, J.: Hamiltonian systems on time scales and some of its applications. J. Math. Anal. Appl. 250(2), 561–578 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  2. Atici, F.M., Guseinov, G.Sh.: On Green’s functions and positive solutions for boundary value problems on time scales. J. Comput. Appl. Math. 141, 75–99 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  3. Bohner, M., Peterson, A.: Dynamic Equations on Time Scales. An Introduction with Appl. Birkhauser, Boston (2001)

    MATH  Google Scholar 

  4. Bohner, M., Peterson, A.: Advances in Dynamic Equations on Time Scales. Birkhauser, Boston (2003)

    MATH  Google Scholar 

  5. Bohner, M., Guseinov, G.Sh.: Partial differentiation on time scales. Dyn. Syst. Appl. 13, 351–379 (2004)

    MATH  MathSciNet  Google Scholar 

  6. Guseinov, G.Sh., Kaymakçalan, B.: On a disconjugacy criterion for second order dynamic equations on time scales. J. Comput. Appl. Math. 141, 187–196 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  7. Hilger, S.: Ein Maßkettenkalkül mit Anwendung auf Zentrmsmannigfaltingkeiten. Ph.D. thesis, Univarsi. Würzburg (1988)

  8. Özyılmaz, E.: Directional derivative of vector field and regular curves on time scales. Appl. Math. Mech. 27(10), 1349–1360 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  9. Özkan, U.M., Yildirim, H.: Hardy-Knopp-Type inequalities on time scales. Dyn. Syst. Appl. (2008, in press)

  10. Sarıkaya, M.Z., Ozkan, U.M., Yıldırım, H.: Time scale integral inequalities similar to Qi’s inequality. IPAM J. Inequal. Pure Appl. Math. 7(4), 128 (2006)

    Google Scholar 

  11. O’Neil, B.: Elementary Differential Geometry. Academic Press, San Diego (1966)

    Google Scholar 

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Correspondence to Nesip Aktan.

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Aktan, N., Sarıkaya, M.Z., İlarslan, K. et al. Directional -derivative and Curves on n-dimensional Time Scales. Acta Appl Math 105, 45–63 (2009). https://doi.org/10.1007/s10440-008-9264-9

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  • DOI: https://doi.org/10.1007/s10440-008-9264-9

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