混合型一阶微分不等式的振动性

OSCILLATION OF FIRST-ORDER DIFFERENTIAL INEQUALITIES WITH RETARDED AND ADVANCED ARGUMENT

研究混合型微分不等式和混合型微分方程给出了(A)没有最终正解,(B)没有最终负解,(C)只有振动解的充分条件.并对常系数的(A)、(B)、(C)给出了相应问题的充要条件,

Mixed-type differential inequalities and mixed-type differential equation are studied. A sufficient condition has been obtained for (A),(B) and (C)respectively, i.e. (A) has no eventually positive solution, (B)has no eventually negative solution and(C) has only oscillatory solutions. Necessary and sufficient coditions of the relevtnt problems have been gotten for (A) ,(B) and (C) with constant coefficients.