Geodesic
On some bondary-value problems for the third-order linear equations of the composite type
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 150-169

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In the present paper we study some boundary-value problems for a class of third-order composite type equations with Chapligin operator in the main part. We prove the theorems of the existence and uniqueness of classical solution for considered problems. The proof is based on an energy inequality and Fredgolm type integral equations.
Keywords: Boundary-value problem, Laplace operator, Green function, third-order PDE, energy integrals, Dirichlet problem, integral equations.
Mots-clés : composite type equation 
@article{SEMR_2013_10_a44,
     author = {O. S. Zikirov},
     title = {On some bondary-value problems for the third-order linear equations of the composite type},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {150--169},
     publisher = {mathdoc},
     volume = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a44/}
}
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O. S. Zikirov. On some bondary-value problems for the third-order linear equations of the composite type. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 150-169. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a44/