Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

BIFURCATION OF BOUNDED SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS

  • Published : 2000.09.01
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Abstract

Conley index is used study bifurcation from equilibria of full bounded solutions to parameter dependent families of ordinary differential equations of the form {{{{ {dx} over {dt} }}}} =$\varepsilon$F(x, t, $\mu$). It is assumed that F(x, t,$\mu$) is uniformly almost periodic in t.

Keywords

References

  1. J. of Differential Equations v.23 Topological dynamics of an ordinary differential equation Z. Artstein
  2. CBMS v.38 Isolated Invariant Sets and the Morse Index C. Conley
  3. Lecture Notes in Mathematics v.377 Almost Periodic Differential Equations A. M. Fink
  4. Lecture Notes in Mathematics v.568 Coincidence Degree and Nonlinear Differential Equations R. Gaines;J. Mawhin
  5. Asymptotic Behavior of Dissipative Systems J. K. Hale
  6. Geometrical Methods in Nonlinear Analysis M. Krasnosel'skii;P. Zabreiko
  7. Bull. Soc. Roy. Sci. Liege v.38 Degre topologique et solutions periodiques des systemes differentiels non lineaires J. Mawhin
  8. CBMS v.40 Topological Degree Methods in Nonlinear Boundary Value Problems
  9. The Homotopy Index and Partial Differential Equations K. P. Rybakowski
  10. Topological Dynamics and Ordinary Differential Equation G. R. Sell
  11. Results in Mathematics v.14 Conley index and non-autonomous differential equations J. R. Ward, Jr.
  12. Trans. Amer. Math. Soc. v.333 A topological method for bounded solutions of nonautonomous ordinary differential equations
  13. J. of Differential Equations v.107 Homotopy and bounded solutions of ordinary differential equations
  14. J. of Differential Equations v.125 Bifurcating continua in infinite dimensional dynamical systems and applications to differential equations