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In the present work, we have applied the analytical approach to obtain the equations of motion of a system of two cable connected artificial satellites under the effect of various perturbative forces of general nature. These perturbative forces are the earth’s shadow, solar radiation pressure, earth’s oblateness and the earth’s magnetic field.
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Certain theorems on the analyticity of solutions of elliptic equations are used to prove theorems on the behavior of solutions of general elliptic systems of differential equations in unbounded regions, analogous to the classical theorems of Liouville and Phragmen-Lindelof for harmonic functions. Theorems on the uniqueness of the solutions for elliptic
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Es sei \(\Omega\) ein Gebiet aus \(R^ n\), das mit einer geschlossenen Fläche S der Klasse \(C^{\infty}\) begrenzt ist. Es seien D(\({\bar \Omega}\)) und D(S) die Räume der unendlich oft differenzierbaren Funktionen auf \({\bar \Omega}=\Omega \cup S\) und S.
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Translation from Tr. Semin. Im. I. G. Petrovskogo 8, 135-152 (Russian) (1982; Zbl 0494.35032).
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