# Upper and lower solutions satisfying the inverse inequality

Annales Polonici Mathematici (1997)

- Volume: 65, Issue: 3, page 235-244
- ISSN: 0066-2216

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topIrena Rachůnková. "Upper and lower solutions satisfying the inverse inequality." Annales Polonici Mathematici 65.3 (1997): 235-244. <http://eudml.org/doc/269990>.

@article{IrenaRachůnková1997,

abstract = {We consider multipoint and two-point BVPs for second order ordinary differential equations with a Carathéodory right hand side. We prove the existence of solutions provided there exist upper and lower solutions of the BVP and the upper solution is less than the lower one.},

author = {Irena Rachůnková},

journal = {Annales Polonici Mathematici},

keywords = {existence; multipoint and two-point BVP; upper and lower solutions; topological degree; multipoint; two-point BVPs; Carathéodory right hand side},

language = {eng},

number = {3},

pages = {235-244},

title = {Upper and lower solutions satisfying the inverse inequality},

url = {http://eudml.org/doc/269990},

volume = {65},

year = {1997},

}

TY - JOUR

AU - Irena Rachůnková

TI - Upper and lower solutions satisfying the inverse inequality

JO - Annales Polonici Mathematici

PY - 1997

VL - 65

IS - 3

SP - 235

EP - 244

AB - We consider multipoint and two-point BVPs for second order ordinary differential equations with a Carathéodory right hand side. We prove the existence of solutions provided there exist upper and lower solutions of the BVP and the upper solution is less than the lower one.

LA - eng

KW - existence; multipoint and two-point BVP; upper and lower solutions; topological degree; multipoint; two-point BVPs; Carathéodory right hand side

UR - http://eudml.org/doc/269990

ER -

## References

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