سلوك حلول معادلات تفاضلية غير خطية من المرتبة الثالثة بثابت لابلاسي p ≥1 في المدى الزمني البعيد

الملخص EN

In this paper ,we study asymptotic properties of solutions of the following third-order differential equations with -P Laplacian.

〖 [|u^'' (t) |^(p-1) u^'' (t)]〗^'+f(t,u(t) )=e(t) ;p≥1 (1) In the sequel, it is assumed that all solutions of the equation are continuously extendable throughout the entire real axis.

We shall prove sufficient conditions under which all global solutions asymptotic to at^2+bt+c ;as t→∞ where a,b,c are are real numbers.