| 1. | this unique solution is then x=0=0 which is called the trivial solution.
这时它的唯一解就是x00称它为平凡解。 |
| 2. | Nontrivial solution for a semilinear elliptic equation
一类超线性椭圆方程的非平凡解 |
| 3. | Nontrivial solution for an elliptic equation with singularity
带奇点的二阶椭圆型方程的非平凡解 |
| 4. | A high - order finite diference scheme for nonlinear convection - diffusion problems on nonuniform grids
指数的半线性椭圆系统的非平凡解 |
| 5. | The solvability and the existence of solution for a wave equation with periodic condition under strong resonance are studied in the paper
摘要本文研究波动方程边值问题当非线性项满足强共振条件或为周期函数时的可解性和非平凡解的存在性。 |
| 6. | High - dimensional alternate type differential system with impulse is discussed . sufficient condition is obtained for stability of the system with constant coefficient
摘要研究了一类多维交替型脉冲微分系统的稳定性，给出了系统的平凡解渐近稳定的充分条件。 |
| 7. | The existence of solutions for a class of elliptic systems is denoted , by mountain pass lemma , the existence result for system of more general operator including p - laplacian , is obtained
摘要利用经典的山路引理，证明了在一般形式的算子下，椭圆型方程组非平凡解的存在性。 |
| 8. | A linear impulsive delay difference equation is considered , and snfficient conditions are obtained for the oscillation of nontrivial solutions and asymptotic behaviors of non - oscillatory solutions
摘要研究了一类线性脉冲时滞差分方程，并给出方程非振动解的渐近性态和所有非平凡解振动的判据。 |
| 9. | First , based on the related theories of the ordinary differential equations , we discuss the existence of the non - trivial solutions to a class of boundary value equations discussed in this paper
首先应用常微分方程理论讨论一类边值问题非平凡解的存在唯一性，并将该研究结果应用到一类弹性系统的镇定问题。 |
| 10. | Model2 is also concerned with steady - state equations of an extended class of predator - prey systems with diffusion , i . e . this model is less sophisticated than model1 , but we investigate it far more deeply
模型2仍是一类捕食系统的平衡态方程，即比模型1简单，但进行了更深入的研究，本文第二部分利用局部分歧理论的技巧卜’证明了系统在半平凡解… 。 |
