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The Qualitative Behavior of a Second Order System with Zero Diagonal Coefficient

Mats Gyllenberg, Ping Yan, Jifa Jiang, The Qualitative Behavior of a Second Order System with Zero Diagonal Coefficient. Journal of Mathematical Analysis and Applications 291, 322–340, 2004.

Abstract:

This paper investigates the qualitative behavior of solutions
of the autonomous planar system with zero diagonal coefficient (x) over
dot = P-2(y)q(2)(x)y, (y) over dot = P-3(y)q(3)(x)x + p(4)(y)q(4)(x)y.
Under suitable assumptions, the necessary and sufficient conditions for
all solutions to be oscillatory, and for the origin to be a global
center are established. The theorems on the existence and uniqueness of
nontrivial periodic solutions are also proved.

BibTeX entry:

@ARTICLE{jGyYaJi04a,
  title = {The Qualitative Behavior of a Second Order System with Zero Diagonal Coefficient},
  author = {Gyllenberg, Mats and Yan, Ping and Jiang, Jifa},
  journal = {Journal of Mathematical Analysis and Applications},
  volume = {291},
  pages = {322–340},
  year = {2004},
}

Belongs to TUCS Research Unit(s): Biomathematics Research Unit (BIOMATH)

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