Qualitative properties of certain non-linear differential systems ofsecond order
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Tarih
2017-03-01
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Yayıncı
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.
Açıklama
Anahtar Kelimeler
Boundedness,Square integrability, Integral test, Non-linear, Differential system, Second order
Kaynak
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Scopus Q Değeri
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Künye
5