Displaying similar documents to “Sufficient conditions for all integrals of a stationary system to be determined in the bilateraly unbounded interval”

On some three-point problems for third-order differential equations

Irena Rachůnková (1992)

Mathematica Bohemica

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This paper is concerned with existence and uniqueness of solutions of the three-point problem u ' ' ' = f ( t , u , u ' , u ' ' ) , u ( c ) = 0 , u ' ( a ) = u ' ( b ) . u ' ' ( a ) = u ' ' ( b ) , a ≤ c ≤ b . The problem is at resonance, in the sense that the associated linear problem has non-trivial solutions. We use the method of lower and upper solutions.

On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects

Vsevolod A. Solonnikov, Giuseppe Mulone (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The solvability of three linear initial-boundary value problems for the system of equations obtained by linearization of MHD equations is established. The equations contain terms corresponding to Hall and ion-slip currents. The solutions are found in the Sobolev spaces W p 2 , 1 ⁢ Q T with p > 5 / 2 and in anisotropic Holder spaces.