Electron. J. Differential Equations, Vol. 2016 (2016), No. 280, pp. 1-6.

Existence of three solutions for higher order BVP with parameters via Morse theory

Mariusz Jurkiewicz, Bogdan Przeradzki

We prove the existence of at least three solutions to a general Lidstone problem using the Morse Theory.

Submitted April 26, 2016. Published October 19, 2016.
Math Subject Classifications: 34B15, 37B30.
Key Words: Multidimensional spectrum; Lidstone BVP; critical point theory; Palais-Smale condition; critical group; Morse's theory.

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Mariusz Jurkiewicz
Institute of Mathematics and Cryptology
Military University of Technology
Gen. Sylwestra Kaliskiego 2
00-908 Warszawa 49, Poland
email: mjurkiewicz@wat.edu.pl
  Bogdan Przeradzki
Institute of Mathematics
Lodz University of Technology
Wólczańska 215, 90-924 Ƚódź, Poland
email: bogdan.przeradzki@p.lodz.pl

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