Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE EXISTENCE AND BEHAVIOR OF SOLUTIONS FOR PERTURBED NONLINEAR DIFFERENTIAL EQUATIONS

  • Jin Gyo Jeong (Department of Mathematics, Pusan National University, Pusan 609-735, Korea) ;
  • Ki Yeon Shin (Department of Mathematics, Pusan National University, Pusan 609-735, Korea, E-mail : kyshin＠hyowon.cc.pusan.ac.kr)
  • Published : 1997.07.01
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Abstract

The existence and behavior of a bounded solution for a perturbed nonlinear differential equation of the type $$ (DE) x'(t) + Ax(t) \ni G(x(t)), t \in [0, \infty) $$ is considered. First, we consider the existence of a bounded solution with more simple assumptions using the concept of "the method of lines". Then we devote to study its behavior using recent results of almost non-expansive curve which is developed by Djafari Rouhani.i Rouhani.

Keywords

References

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