The nonexistence theorem of radial positive solution, sufficient conditions of oscillation and boundedness of radial solution and estimation for bounded solution are given in this paper.
给出了问题径向正解的非存在性,解的振荡性及有界性的充分条件,并对有界解进行了估计。
By using a well-known fixed point index theorem, we obtain the existence, multiplicity and nonexistence of positive periodic solution(s) to this equation.
利用一个著名的不动点指标定理,获得了该方程周期正解的存在性、多重性和不存在性。
In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.
本文运用正则化方法证明了一类退化抛物方程解的存在唯一性,讨论了解的全局存在性与爆破,并在一定的初值条件下得到了解的爆破速率。
In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.
本文运用正则化方法证明了一类退化抛物方程解的存在唯一性,讨论了解的全局存在性与爆破,并在一定的初值条件下得到了解的爆破速率。
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