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Keywords:
nonlinear third order differential equation; boundary-value problem
nonlinear third order differential equation; boundary-value problem
Summary:
Two sorts of nonlinear third order boundary-value problems are solved and the existence of eigenvalues and eigenfunctions is proved.
References:
[1] Greguš, M.: On a certain boundary value third order problem with two parameters. Acta Math. Univ.Comen. LIV-LV (1988), 201–206. MR 1083214
[2] Greguš, M.: Third order linear differential equation. Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1982. MR 0882545
[3] Lockschin, A.: Über die Knickung eines gekrümmten Stabes. ZAMM 16, 1, (1936), 49–55.
[4] Sansone, G.: Equazioni differenziali nel campo reale. Parte prima, Bologna, 1948.
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