Asymptotic behavior of solutions of third-order differential equations with rapidly varying nonlinearity
DOI:
https://doi.org/10.37863/umzh.v74i6.6821Keywords:
essentially nonlinear differential equations, rapidly varying nonlinearities, rapidly varying solutions, asymptotic representations.Abstract
UDC 517.925
For binomial essentially nonlinear nonautonomous differential equations of the third order with rapidly varying nonlinearity, we establish necessary and sufficient conditions of existence of rapidly varying solutions and their asymptotic representations for t↑ω (ω≤+∞).
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