Existence of nonzero nonnegative solutions of semilinear equations at resonance

Michal Fečkan

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 4, page 709-719
  • ISSN: 0010-2628

Abstract

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The existence of nonzero nonnegative solutions are established for semilinear equations at resonance with the zero solution and possessing at most linear growth. Applications are given to nonlinear boundary value problems of ordinary differential equations.

How to cite

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Fečkan, Michal. "Existence of nonzero nonnegative solutions of semilinear equations at resonance." Commentationes Mathematicae Universitatis Carolinae 39.4 (1998): 709-719. <http://eudml.org/doc/248264>.

@article{Fečkan1998,
abstract = {The existence of nonzero nonnegative solutions are established for semilinear equations at resonance with the zero solution and possessing at most linear growth. Applications are given to nonlinear boundary value problems of ordinary differential equations.},
author = {Fečkan, Michal},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semilinear equations at resonance; boundary value problems; semilinear equations at resonance; boundary value problems},
language = {eng},
number = {4},
pages = {709-719},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Existence of nonzero nonnegative solutions of semilinear equations at resonance},
url = {http://eudml.org/doc/248264},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Fečkan, Michal
TI - Existence of nonzero nonnegative solutions of semilinear equations at resonance
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 4
SP - 709
EP - 719
AB - The existence of nonzero nonnegative solutions are established for semilinear equations at resonance with the zero solution and possessing at most linear growth. Applications are given to nonlinear boundary value problems of ordinary differential equations.
LA - eng
KW - semilinear equations at resonance; boundary value problems; semilinear equations at resonance; boundary value problems
UR - http://eudml.org/doc/248264
ER -

References

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  1. Gaines R.E., Santanilla J., A coincidence theorem in convex sets with applications to periodic solutions of ordinary differential equations, Rocky Mountain J. Math. 12 (1982), 669-678. (1982) Zbl0508.34030MR0683861
  2. Nieto J., Existence of solutions in a cone for nonlinear alternative problems, Proc. Amer. Math. Soc. 94 (1985), 433-436. (1985) Zbl0585.47050MR0787888
  3. Przeradzki B., A note on solutions of semilinear equations at resonance in a cone, Ann. Polon. Math. 58 (1993), 95-103. (1993) Zbl0776.34035MR1215764
  4. Santanilla J., Existence of nonnegative solutions of a semilinear equation at resonance with linear growth, Proc. Amer. Math. Soc. 105 (1989), 963-971. (1989) Zbl0687.47045MR0964462

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