AN ANALOGY OF THE SAINT- VENANT’S PRINCIPLE FOR SOLUTIONS OF THE THIRD ORDER PSEUDOELLIPTICAL EQUATIONS
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Abstract
In the paper energy estimates for solutions of third order equations considering transformation’s character of the body form were established. In consequence of this estimate, the uniqueness theorems were obtained for solutions of the first boundary value problem for third order equations in unlimited domains.
Keywords: equations of the pseudo elliptical type, analogy of the Saint-Venant’s principle, uniqueness theorem, generalized solution, unlimited domain, energy estimate, equations of third order.
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