POSITIVE SOLUTIONS OF HIGHER ORDER SUBLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS  

作　　者：缪益华 

出　　处：《Acta Mathematica Scientia》1992年第3期337-345,共9页数学物理学报（B辑英文版）

摘　　要：In this paper, we discuss higher order sublinear functional differential equation x(n)(t)+p(t)x(v)(g(t)) =0 t greater-than-or-equal-to t0 where n greater-than-or-equal-to 2, 0<v<1, p(t) is-an-element-of C(R+, R+), g(t) is-an-element-of C([t0, infinity), R+), 0 less-than-or-equal-to g(t) less-than-or-equal-to t (t greater-than-or-equal-to t0) and lim(t-->infinity) g(t) = infinity. R+ = [0, infinity). Some necessary and sufficient conditions for existence of positive solution of the equation are established.In this paper, we discuss higher order sublinear functional differential equation x(n)(t)+p(t)x(v)(g(t)) =0 t greater-than-or-equal-to t0 where n greater-than-or-equal-to 2, 0<v<1, p(t) is-an-element-of C(R+, R+), g(t) is-an-element-of C([t0, infinity), R+), 0 less-than-or-equal-to g(t) less-than-or-equal-to t (t greater-than-or-equal-to t0) and lim(t-->infinity) g(t) = infinity. R+ = [0, infinity). Some necessary and sufficient conditions for existence of positive solution of the equation are established.

分 类 号：O1，O4[理学—数学]