Two-point boundary value problems for nonlinear perturbations of some singular linear differential equations at resonance

Jean Mawhin; Walo Omana

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 3, page 537-550
  • ISSN: 0010-2628

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Mawhin, Jean, and Omana, Walo. "Two-point boundary value problems for nonlinear perturbations of some singular linear differential equations at resonance." Commentationes Mathematicae Universitatis Carolinae 030.3 (1989): 537-550. <http://eudml.org/doc/17767>.

@article{Mawhin1989,
author = {Mawhin, Jean, Omana, Walo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {second order nonlinear two-point boundary value problems; singular resonant linear part; Green's function},
language = {eng},
number = {3},
pages = {537-550},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Two-point boundary value problems for nonlinear perturbations of some singular linear differential equations at resonance},
url = {http://eudml.org/doc/17767},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Mawhin, Jean
AU - Omana, Walo
TI - Two-point boundary value problems for nonlinear perturbations of some singular linear differential equations at resonance
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 3
SP - 537
EP - 550
LA - eng
KW - second order nonlinear two-point boundary value problems; singular resonant linear part; Green's function
UR - http://eudml.org/doc/17767
ER -

References

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  2. Dunninger D. R., Kurtz J. C., A priori bounds and existence of positive solutions for singular nonlinear boundary value problems, SIAM J. Math. Anal. 17 (1986), 595-609. (1986) Zbl0595.34016MR0838243
  3. Fučík S., Boundary value problems with jumping nonlinearities, Časopis pěstov. mat. 101 (1976), 69-87. (1976) MR0447688
  4. Mawhin J., Boundary value problems with nonlinearities having infinite jumps, Comment. Math. Univ. Carotin. 35 (1984), 401-414. (1984) Zbl0562.34010MR0775560
  5. Mawhin J., Points fixes, points critiques et problemes aux limites, Semin. Math. Sup. 92, Presses Univ. Montréal, Montréal (1985). (1985) Zbl0561.34001MR0789982
  6. Mawhin J., Topological degree methods in nonlinear boundary value problem, CBMS Reg. Conf. Series No. 40, American Math. Soc., Providence (1977). (1977) MR0525202
  7. Mikhlin S. G., Mathematical physics, an advanced course, North Holland, Amsterdam, 1970. (1970) Zbl0202.36901MR0286325
  8. Nikiforov A., Ouvarov V., Eléments de la théorie des fonctions spéciales, Mir, Moscow, 1976. (1976) MR0460738
  9. Schechter M., Principles of functional analysis, Academic Press, New York, London, 1971. (1971) Zbl0211.14501MR0445263
  10. Ward J. R., Asymptotic conditions for periodic solutions of ordinary differential equations, Proc. Amer. Math Soc. 81 (1981), 415-420. (1981) Zbl0461.34029MR0597653

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