Andrei V. Faminskii, Nikolai A. Larkin
Abstract:
This paper studies nonhomogeneous initial-boundary value problems
for quasilinear one-dimensional odd-order equations posed on a
bounded interval. For reasonable initial and boundary conditions we
prove existence and uniqueness of global weak and regular solutions.
Also we show the exponential decay of the obtained solution with
zero boundary conditions and right-hand side, and small initial data.
Submitted October 2, 2009. Published January 5, 2010.
Math Subject Classifications: 35M20, 35Q72
Key Words: Nonlinear boundary value problems; odd-order
differential equations; existence and uniqueness.
Show me the PDF file (344 KB), TEX file, and other files for this article.
 |
Andrei V. Faminskii Department of Mathematics, Peoples Friendship University of Russia Miklukho-Maklai str. 6, Moscow, 117198, Russia email: andrei_faminskii@mail.ru |
|---|---|
 |
Nikolai A. Larkin Departamento de Matemática, Universidade Estadual de Maringá Av. Colombo 5790: Agencia UEM, 87020-900, Maringá, PR, Brazil email: nlarkine@uem.br |
Return to the EJDE web page