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Asymptotic relationships between two higher order ordinary differential equations

Asymptotic relationships between two higher order ordinary differential equations

Some asymptotic relationships between the two ordinary differential equations urn:x-wiley:01611712:media:ijmm527124:ijmm527124-math-0001 , urn:x-wiley:01611712:media:ijmm527124:ijmm527124-math-0002 , are studied. Conditions are given that lead to an asymptotic equivalence between certain of the solutions of (1) and certain of the solutions of (2). The case where the perturbation f ( t , y ) depends …