Landesman { Lazer Type Problems at an Eigenvalue of Odd Multiplicity Ludov It Pinda

@inproceedings{1994LandesmanL,
  title={Landesman \{ Lazer Type Problems at an Eigenvalue of Odd Multiplicity Ludov It Pinda},
  author={},
  year={1994}
}
  • Published 1994
The aim of this paper is to establish some a priori bounds for solutions of Landesman-Lazer problem. We show the application for the solution structure of the nonlinear diierential equation of the fourth order 1. The general theory Let X be a real Banach space with the norm k k and let D(L) X be the domain of the closed Fredholm operator L : D(L) ! X with index zero. We shall suppose that 0 is an isolated eigenvalue of odd multiplic-ity of L, hence there exists such a 0 > 0 that for 2 (? 0 ; 0… CONTINUE READING

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Bratislava, SLOVAK REPUBLIC

  • Bratislava, SLOVAK REPUBLIC

If (27) holds then there exists an 2 > 0 such that (3) for ? 0 exists at least one 2-periodic solution of (20) (4) for 0 < 2 exists at least two 2-periodic solutions of

  • If (27) holds then there exists an 2 > 0 such…

If we use Theorem 9 3] p. 144 we obtain a result about a number of solutions of the equation (20) in a neighbourhood of 0

  • If we use Theorem 9 3] p. 144 we obtain a result…

Let the condition of Theorem 3 hold and let 0 . Then there exists such an R 0 > 0 that any solution u of the equation (20) satisses jjujj R 0

  • IT PINDA Theorem 5

Let the conditions of Theorem 4 hold and let ? 0. Then there exists such an R 0 > 0 that any solution u of the equation (20) satisses jjujj R 0

  • Theorem 6

Ludov it Pinda Department of Mathematics EU Odboj arov 10

  • Ludov it Pinda Department of Mathematics EU Odboj…

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