ASYMPTOTIC BEHAVIOR AND OSCILLATIONS OF SOLUTIONS OF NONLINEAR PARABOLIC DIFFERENTIAL-FUNCTIONAL EQUATIONS

  • Minchev, Emil (Department of Mathematics, Faculty of Education, Chiba University) ;
  • Yoshida, Norio (Department of Mathematics, Faculty of Science, Toyama University)
  • 발행 : 2002.05.01

초록

The asymptotic behaviour of the solutions of initial - boundary value problem for a class of nonlinear parabolic differential - functional equations is studied via the method of differential inequalities in order to obtain oscillation criterion for the solutions.

키워드

참고문헌

  1. Math. Journ. Toyama Univ. v.23 Oscillations of solutions of initial value problems for parabolic equations K. Kobayashi;N. Yoshida
  2. Journ. Appl. Anal. v.5 Oscillation criteria for a class of functional parabolic equations T. Kusano;N. Yoshida
  3. Theory and Applications v.1,2 Differential and Integral Inequalities V. Lakshmikantham;S. Leela
  4. Journ. Math. Anal. Appl. v.234 Oscillation of solutions of neutral partial functional-differential equations W. N. Li;B. T. Cui
  5. Differential Inequalities J. Szarski
  6. Proc. Japan Acad. Ser. A Math. Sci. v.72 Oscillation of solutions of nonlinear wave equations H. Uesaka
  7. Differential and Integral Inequalities W. Walter
  8. Journ. Comp. Appl. Math. v.126 Oscillation of parabolic equations of neutral type P. Wang;Ch. Feng
  9. Math. Journ. Toyama Univ. v.22 Forced oscillations of a class of parabolic equations with functional arguments N. Yoshida