Perturbations of nonlinear differential equations
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- by R. E. Fennell and T. G. Proctor PDF
- Trans. Amer. Math. Soc. 185 (1973), 401-411 Request permission
Abstract:
Scalar and vector comparison techniques are used to study the comparative asymptotic behavior of the systems (1) $x’ = f(t,x)$ and (2) $y’ = f(t,y) + g(t,y)$. Conditions are given which allow bounds for the solutions of (2) to be obtained assuming a knowledge of the solutions of (1) and which guarantee the generalized asymptotic equivalence of (1) and (2). Examples are given.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 185 (1973), 401-411
- MSC: Primary 34D10
- DOI: https://doi.org/10.1090/S0002-9947-1973-0361309-1
- MathSciNet review: 0361309