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We establish necessary and sufficient conditions for the existence of Pω (Y0 ,Y1, λ0)-solutions of one class of second-order differential equations with rapidly and regularly varying nonlinearities. This result is… Click to show full abstract
We establish necessary and sufficient conditions for the existence of Pω (Y0 ,Y1, λ0)-solutions of one class of second-order differential equations with rapidly and regularly varying nonlinearities. This result is a natural generalization of the results of previous investigations carried out by V. М. Evtukhov and his school. We also established the asymptotic representations of these solutions and their first-order derivatives.
Keywords:
order differential;
order;
rapidly regularly;
differential equations;
equations rapidly;
second order
Journal Title: Journal of Mathematical Sciences
Year Published: 2021
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Journal Title: Journal of Mathematical Sciences
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!