Qualitative properties of certain non-linear differential systems ofsecond order

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Tarih

2017-03-01

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Elsevier

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we study the boundedness and square integrability of solutions in certain non-linear systems of differential equations of second order. We establish two new theorems, which include suitable sufficient conditions guaranteeing the boundedness and square integrability of solutions to the considered systems. The presented proofs simplify previous works since the Gronwall inequality is avoided which is the usual case. The technique of proof involves the integral test, and two examples are included to illustrate the results.

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Anahtar Kelimeler

Boundedness,Square integrability, Integral test, Non-linear, Differential system, Second order

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5