TUNÇ, CEMİLDİNÇ, Yavuz04.02. Department of Management / İşletme Bölümü04. Faculty of Economics and Administrative Sciences / İktisadi ve İdari Bilimler Fakültesi01. Mardin Artuklu University / Mardin Artuklu Üniversitesi2019-05-312019-05-31201751658-3655https://hdl.handle.net/20.500.12514/932In 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.eninfo:eu-repo/semantics/openAccessBoundedness,Square integrability, Integral test, Non-linear, Differential system, Second orderArticle