weak differential operator 中文意思是什麼
weak differential operator
解釋
弱微分運算元- weak : adj 1 柔弱的；虛弱的，有病的。2 無力的，軟弱的；（根據等）不充分的，薄弱的。3 不中用的；愚鈍的；...
- differential : adj 1 差別的，區別的；特定的。2 【數學】微分的。3 【物、機】差動的，差速的，差示的。n 1 （鐵路不...
- operator : n 1 操作者，機務員；司機，駕駛員；【軍事】電話兵；【電話】接線員，話務員（＝telephone operator）...
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As the applications of mixed monotone operators theory, some classes of equations are considered. some initial value problems and boundary value problems for mixed monotone nonlinear impulsive integro - differential equations and nonlinear elliptic equations are discussed. some known results are generalized under weak conditions. and initial value problems and periodic boundary value problems for mixed monotone nonlinear impulsive evolution equations are discussed by mixed monotone operators theory with considering the main properties of operator semigroup. the sufficient and necessary conditions for existence and uniqueness of their solution and coupled solution are obtained
作為混合單調運算元理論的應用，本章討論了非線性混合單調脈沖積微分方程和混合單調非線性橢圓方程方面的一些問題，不同程度地削弱了原有的條件，推廣了已知的結果；還利用錐理論並結合運算元半群的性質及其主要特徵討論了非線性脈沖發展方程初值問題、周期邊值問題，給出了混合單調非線性脈沖發展方程的耦合周期解以及存在唯一解的充要條件。
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