Establishment of unified system of oscillation theory concerning zeros of solutions of partial differential equations

  • 吉田, 範夫 (Principal Investigator)
  • 小林, 久壽雄 (Co-Investigator(Kenkyū-buntansha))

Project Details

Abstract

For half-linear elliptic equations with p-Laplacian we established Picone identities, and moreover, Sturmian comparison theorems and oscillation theorems, and so it seems that we completed the unified system. Furthermore, we proceeded to study about equations with p(x)-Laplacians for which we could get great oscillation results.We could obtain sufficient conditions for every solution of functional hyperbolic equations of more general type to oscillate.
StatusFinished
Effective start/end date2008/01/012012/12/31

Funding

  • Japan Society for the Promotion of Science: ¥4,420,000.00

Keywords

  • 振動理論
  • 偏微分方程式
  • 零点
  • Picone 等式
  • Sturm 型比較定理
  • Picone等式
  • 零点定性的理論
  • 定性的理論
  • Picone(不)等式