Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations

• Autorzy: Bohner M. , Grace S. , Sultana N.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.

Słowa kluczowe

EN

dynamic equation; time scales; nonoscillation; asymptotics

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 1
• Strony: 5--14
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Bohner M.

• Missouri University of Science and Technology Department of Mathematics and Statistics Rolla, Missouri 65409-0020, USA

autor

Grace S.

• Cairo University Department of Engineering Mathematics Faculty of Engineering Orman, Giza 12221, Egypt

autor

Sultana N.

• Missouri University of Science and Technology Department of Mathematics and Statistics Rolla, Missouri 65409-0020, USA

Bibliografia

• [1] M. Bohner, A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, Boston, 2001.
• [2] M. Bohner, A. Peterson (Eds.), Advances in Dynamic Equations on Time Scales, Birkhäuser, Boston, 2003.
• [3] G.H. Hardy, J.E. Littlewood, G. Pólya, Inequalities, Cambridge University Press, Cambridge, 1952.
• [4] G. Karakostas, I.P. Stavroulakis, Y. Wu, Oscillations of Volterra integral equations with delay, Tohoku Math. J. (2) 45 (1993) 4, 583–605.
• [5] B. Karpuz, Unbounded oscillation of higher-order nonlinear delay dynamic equations of neutral type with oscillating coefficients, Electron. J. Qual. Theory Differ. Equ. 34 (2009), 14 pp.
• [6] H. Onose, On oscillation of Volterra integral equations and first order functional--differential equations, Hiroshima Math. J. 20 (1990) 2, 223–229.
• [7] N. Parhi, N. Misra, On oscillatory and nonoscillatory behaviour of solutions of Volterra integral equations, J. Math. Anal. Appl. 94 (1983) 1, 137–149.
• [8] B. Singh, On the oscillation of a Volterra integral equation, Czechoslovak Math. J. 45 (120) (1995) 4, 699–707.