Global solution and blow-up for a class of pseudo p-Laplacian evolution equations with logarithmic nonlinearity
Global solution and blow-up for a class of pseudo p-Laplacian evolution equations with logarithmic nonlinearity
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DOI：
10.1016/j.camwa.2017.02.030
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发表时间：
2017-05
期刊：
影响因子：
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通讯作者：
L. Nhan;L. Truong
中科院分区：
文献类型：
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作者：
L. Nhan;L. Truong
利用Mawhin延拓定理，给出了一类高阶微分方程共振积分边值问题解存在的充分条件.有趣的是，我们将处理对应于高阶微分算子的任意维非平凡核的情况，这将给构造广义逆算子带来一些困难。
By using Mawhin’s continuation theorem, we provide some sufficient conditions for the existence of solution for a class of high order differential equations of the formassociated with the integral boundary conditions at resonance. The interesting point is that we shall deal with the case of nontrivial kernel of arbitrary dimension corresponding to high order differential operator which will cause some difficulties in constructing the generalized inverse operator.