Displaying similar documents to “On homogeneous symmetries for evolution systems with constraints”

Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables

Oksana Malanchuk, Zinoviy Nytrebych (2017)

Open Mathematics

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We prove that homogeneous problem for PDE of second order in time variable, and generally infinite order in spatial variables with local two-point conditions with respect to time variable, has only trivial solution in the case when the characteristic determinant of the problem is nonzero. In another, opposite case, we prove the existence of nontrivial solutions of the problem, and we propose a differential-symbol method of constructing them.

The homogeneous balance of undetermined coefficients method and its application

Yi Wei, Xin-Dang He, Xiao-Feng Yang (2016)

Open Mathematics

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The homogeneous balance of undetermined coefficients method is firstly proposed to solve such nonlinear partial differential equations (PDEs), the balance numbers of which are not positive integers. The proposed method can also be used to derive more general bilinear equation of nonlinear PDEs. The Eckhaus equation, the KdV equation and the generalized Boussinesq equation are chosen to illustrate the validity of our method. The proposed method is also a standard and computable method,...

Remarks on the cardinality of a power homogeneous space

Angelo Bella (2005)

Commentationes Mathematicae Universitatis Carolinae

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We provide a further estimate on the cardinality of a power homogeneous space. In particular we show the consistency of the formula | X | ≤ 2 π χ ( X ) for any regular power homogeneous ccc space.