Jumping nonlinearities for fourth order B.V.P.

Marta García-Huidobro; Raúl Manásevich

Annales de la Faculté des sciences de Toulouse : Mathématiques (1993)

  • Volume: 2, Issue: 1, page 53-72
  • ISSN: 0240-2963

How to cite

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García-Huidobro, Marta, and Manásevich, Raúl. "Jumping nonlinearities for fourth order B.V.P.." Annales de la Faculté des sciences de Toulouse : Mathématiques 2.1 (1993): 53-72. <http://eudml.org/doc/73312>.

@article{García1993,
author = {García-Huidobro, Marta, Manásevich, Raúl},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {jumping nonlinearities; fourth order; boundary value problem; existence},
language = {eng},
number = {1},
pages = {53-72},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Jumping nonlinearities for fourth order B.V.P.},
url = {http://eudml.org/doc/73312},
volume = {2},
year = {1993},
}

TY - JOUR
AU - García-Huidobro, Marta
AU - Manásevich, Raúl
TI - Jumping nonlinearities for fourth order B.V.P.
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1993
PB - UNIVERSITE PAUL SABATIER
VL - 2
IS - 1
SP - 53
EP - 72
LA - eng
KW - jumping nonlinearities; fourth order; boundary value problem; existence
UR - http://eudml.org/doc/73312
ER -

References

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  1. [1] Coddington ( E.) and Levinson ( N.) .— Theory of ordinary differential equations, McGrawhill, New York (1955). Zbl0064.33002MR69338
  2. [2] Elías ( U.) . — The extremal solutions of the equation Ly + p(x)y = 0, II, J. Math Anal. Appl.55 (1976), pp. 253-265. Zbl0336.34036MR432974
  3. [3] Elías ( U.) . — Eigenvalue problems for the equation Ly + λp(x)y = 0, J. Differential Equations29 (1978), pp. 28-57. Zbl0369.34008MR486759
  4. [4] Elías ( U.) . — Oscillatory solutions and extremal points for a linear differential equation, Arch. Rational Mech. Anal.70 (1979), pp. 177-198. Zbl0412.34016MR525223
  5. [5] García-Huidobro ( M.) . — Jumping nonlinearities for a nonlinear equation with an n-th order disconjugate operator, Diff. and Int. Equations4, n° 6 (1991), pp. 1281-1292. Zbl0733.34029MR1133758
  6. [6] Hart ( D.C.), Lazer ( A.C.) and Mckenna ( J.P.) .— Multiple solutions of two point boundary value problems with jumping nonlinearities, J. Diffential Equations59 (1985), pp. 266-281. Zbl0576.34017MR804892
  7. [7] Lazer ( A.C.) and Mckenna ( J.P.) . — On the number of solutions of a nonlinear Dirichlet problem, J. Math. Anal. Appl.84 (1981), pp. 282-294. Zbl0496.35039MR639539
  8. [8] Lazer ( A.C.) and Mckenna ( J.P.) . — On the conjecture related to the number of solutions of a nonlinear Dirichlet problem, Proc. Roy. Soc. Edinburgh Sect A, 95 (1983), pp. 275-283. Zbl0533.35037MR726879
  9. [9] Schmitt ( K.) . — Boundary value problems with jumping nonlinearities, Rocky Mountain Journal of Math.16, n° 3 (1986), pp. 481-496. Zbl0631.35032MR862276

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