Journal of applied mathematics & informatics

  • 제7권2호
  • /
  • Pages.539-552
  • /
  • 2000
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH TIME VARIABLES

  • Qi, Jian-Gang (Department of Mathematics, Shandong Normal University) ;
  • Liu, Yan-Sheng (Department of Mathematics Shandong Normal University)
  • 발행 : 2000.05.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we established the general comparison principles for IVP of impulsive differential equations with time variables, which strictly extend and improve the precious comparison results obtained by V. Lakes. et.al . and S.K.Kaul([3]-[7]). Whit the general comparison results, we constructed the monotone iterative sequences of solution for IVP of such equations which converges the maximal and minimal and minimal solutions , respectively.

키워드

참고문헌

  1. Monotone iterative technique for Nonlinear diferential equations G.S.Laddle;V.Lakshmikantham;A.S.Vatala
  2. Theory of impulsive differential equations V.Lakshmikantham;D.D.Bainov;P.S.Simeonov
  3. Applicable Analysis v.51 The method of upper and lower solutions and monotone technique for impulsive diferential equations with variable moments V.Laks;N.S.Papageorgiou;J.Vasundhara Devi
  4. Nonlinear World v.2 Monotone iterative technique for impulsive diferential equations with variable times S.K.Kaul
  5. Nonlinear Times and Digest v.2 The periodic boundary value problem for impulsive diferential equations with variable times S.K.Kaul
  6. Nonl. Anal. Appli. v.22 no.10 Extremal solutions, comparison principle and stability criteria for impulsive diferential equations with variable times S.K.Kaul;V.Lakshmikantham;S.Leela
  7. Nonl. Anal. v.22 no.4 comparison principle for impulsive diferential equations with variable times and stability theory V.Lakshmikantham;S.Leela;S.Kaul