Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ASYMPTOTIC BEHAVIOR OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT

  • Yang, Yitao (College of Science, Tianjin University of Technology) ;
  • Meng, Fanwei (Department of Mathematics, Qufu Normal University)
  • 발행 : 2010.01.30
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초록

The asymptotic behavior of solutions of higher order differential equations with deviating argument $$(py^{(n-1)}(t))'\;+\;\sum\limits_{i=1}^{n-1}ci(t)y^{(i-1)}(t)\;=\;f\[t,\;y(t),\;y'(t),\;{\ldots},\;y^{(n-1)}(t),\;y(\phi(t)),\;y'(\phi(t)),\;{\ldots},\;y^{(n-1)}\;(\phi(t))\]\;\;\;\;(1)$$ $t\;{\in}\;[0,\;\infty)$ is studied. Our technique depends on an integral inequality containing a deviating argument. From this we obtain some sufficient conditions under which all solutions of Eq.(1) have some asymptotic behavior.

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참고문헌

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