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具变指数伪抛物方程弱解的存在性
引用本文:万喜昌. 具变指数伪抛物方程弱解的存在性[J]. 北华大学学报(自然科学版), 2013, 0(6): 648-652
作者姓名:万喜昌
作者单位:吉林农业科技学院应用理学院,吉林吉林132101
基金项目:吉林省教育厅科学技术研究项目(2013-439);吉林农业科技学院科研项目(2012-420).
摘    要:考察了具变指数高阶伪抛物方程弱解的性质,运用差分方法、泛函的弱下半连续性和强制性,给出了一类高阶伪抛物方程弱解的存在唯一性.

关 键 词:变指数  存在性  伪抛物方程  弱解

Existence of Weak Solutions for a Pseudo-Parabolic Equation with Variable Exponents
WAN Xi-chang. Existence of Weak Solutions for a Pseudo-Parabolic Equation with Variable Exponents[J]. Journal of Beihua University(Natural Science), 2013, 0(6): 648-652
Authors:WAN Xi-chang
Affiliation:WAN Xi-chang (Application Science School of Jilin Agricultural Science and Technology College ,Jilin 132101, China )
Abstract:Abstract : By using difference theory, weakly lower semi-continuous and the coercive theory of the functional, the property of weak solutions for a pseudo-parabolic equation with variable exponents, the existence and uniqueness of weak solutions for a high-order pseudo-parabolic equation with variable exponents of nonlinearity are investigated.
Keywords:Key words : variable exponents  existence  pseudo-parabolic equations  weak solutions
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