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Complex Variables and Elliptic Equations
An International Journal
Volume 64, 2019 - Issue 5: A Special Issue dedicated to Prof. A. V. Bitsadze on the occasion of his 100th birthday: Elliptic equations, systems and mixed type equations, theory and applications to plane elasticity
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Original Articles

A boundary value problem for higher-order semilinear partial differential equations

S. KharibegashviliI. Javakhishvili Tbilisi State University A. Razmadze Mathematical Institute, Tbilisi, Georgia;Georgian Technical University Department of Mathematics, Tbilisi, GeorgiaCorrespondence[email protected]
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B. MidodashviliI. Javakhishvili Tbilisi State University Faculty of Exact and Natural Sciences, Tbilisi, Georgia;Gori State Teaching University Faculty of Education, Exact and Natural Sciences, Gori, Georgia
Pages 766-776 | Received 21 Jun 2018, Accepted 27 Jul 2018, Published online: 20 Aug 2018
 
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ABSTRACT

One boundary value problem for a class of higher-order semilinear partial differential equations is considered. Theorems on existence, uniqueness and nonexistence of solutions of this problem are proved.

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