Bibliographic Details
| Title: |
On oscillatory solutions of quasilinear differential equations |
| Authors: |
Bartušek, M.1 bartusek@math.muni.cz, Cecchi, M.2 cecchi@det.unifi.it, Došlá, Z.1 dosla@math.muni.cz, Marini, M.2 marini@ing.unifi.it |
| Source: |
Journal of Mathematical Analysis & Applications. Aug2006, Vol. 320 Issue 1, p108-120. 13p. |
| Subjects: |
International relations, Quasilinearization, Numerical analysis, Differential equations |
| Abstract: |
Abstract: Necessary and sufficient conditions for the existence of at least one oscillatory solution of a second-order quasilinear differential equation are presented. These results yield also new conditions guaranteeing the coexistence of oscillatory and nonoscillatory solutions. Our approach is based on the asymptotic representation of solutions by means of a periodic function and of a suitable zero-counting function. [Copyright &y& Elsevier] |
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| Database: |
Engineering Source |
