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Asymptotic Results for a Class of Fourth Order Quasilinear Difference Equations

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Abstract

In this paper, the authors rst classify all nonoscillatory solutions of equation(1) 2 j2yn j12yn+ qn jy (n )j1y (n ) = 0 ; n2 Ninto six disjoint classes according to their asymptotic behavior, and then they obtainnecessary and sucient conditions for the existence of solutions in these classes. Examplesare inserted to illustrate the results

참고문헌 (11)

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  2. "Advanced Topics in Dierence Equations" (1997), KluwarPub. Dordrecht
  3. "On a class of fourth order linear recurrence quations", 7, pp.131~149 (1984)
  4. "An existence theorem for a nonlinear dierence qua-tion", 20, pp.193~203 (1993)
  5. "Oscillatory and asymptotic behavior of fourth ordernonlinear delay dierence quations", 31, pp.23~36 (2001)
  6. "Asymptotic properties of fourth order nonlinear dierenceequations", 1, pp.1~10 (2004)
  7. "On the solutions of fourth order dierence quations", 25, pp.1485~1499 (1995)
  8. "Oscillation properties of fourth order dierence quations", 45, pp.105~114 (1988)
  9. "On fourth order nonlinear oscillations ofdi??erence equations", 42, pp.357~368 (2001)
  10. "Oscillatory and Asymptotic properties of solutionsof nonlinear fourth order di??erence equayions", 37, pp.119~131 (2002)
  11. "Oscillatory and nonoscillatory behavior of fourthorder quasilinear di??erence equations", 17, pp.287~307 (2004)

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