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| ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO SECOND-ORDER NONLINEAR DIFFRENTIAL EQUATIONS | |
| 作者姓名： | 梁中超 陈绍著 |
| 作者单位： | Department of Mathematics Shandong College of Oceanology Qingdao，China.，Department of Mathematics Shandong College of Oceanology，Qingdao，China.，Department of Mathematics，Shandong University，Jinan，China. |
| 摘 要： | In this paper the authors study the oscillation and the asymptotic behavior of solutiosnto the second-order nonlinear differential equations ±X(t,x,)=0 (X_±)and give necessary and sufficient conditions for Equation(X+)to have a boundednonoscillatory solution or to be oscillatory.There are four classes of solutions to Equation(X_) with different asymptotic behavior.For each class of solution,the necessary orsufficient condition of the existence is obtained. |
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