# Existence of nonzero nonnegative solutions of semilinear equations at resonance

Commentationes Mathematicae Universitatis Carolinae (1998)

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

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topFečkan, 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

top- 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
- Nieto J., Existence of solutions in a cone for nonlinear alternative problems, Proc. Amer. Math. Soc. 94 (1985), 433-436. (1985) Zbl0585.47050MR0787888
- Przeradzki B., A note on solutions of semilinear equations at resonance in a cone, Ann. Polon. Math. 58 (1993), 95-103. (1993) Zbl0776.34035MR1215764
- 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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