Uniqueness of positive solutions of nonlinear second order systems.
Revista Matemática Iberoamericana (1995)
- Volume: 11, Issue: 2, page 247-267
- ISSN: 0213-2230
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topDalmasso, Robert. "Uniqueness of positive solutions of nonlinear second order systems.." Revista Matemática Iberoamericana 11.2 (1995): 247-267. <http://eudml.org/doc/39478>.
@article{Dalmasso1995,
abstract = {In this paper we discuss the uniqueness of positive solutions of the nonlinear second order system -u'' = g(v), -v'' = f(u) in (-R,R), u(±R) = v(±R) = 0 where f and g satisfy some appropriate conditions. Our result applies, in particular, to g(v) = v, f(u) = up, p > 1, or f(u) = λu + a1up1 + ... + akupk, with pj > 1, aj > 0 for j = 1, ..., k and 0 ≤ λ < μ12 where μ1 = π2/4R2. },
author = {Dalmasso, Robert},
journal = {Revista Matemática Iberoamericana},
keywords = {Sistemas no lineales; Ecuaciones en derivadas parciales no lineales; Ecuaciones de segundo orden; Solución numérica; Unicidad; boundary value problem; uniqueness of positive solutions; nonlinear second order system; maximum principle},
language = {eng},
number = {2},
pages = {247-267},
title = {Uniqueness of positive solutions of nonlinear second order systems.},
url = {http://eudml.org/doc/39478},
volume = {11},
year = {1995},
}
TY - JOUR
AU - Dalmasso, Robert
TI - Uniqueness of positive solutions of nonlinear second order systems.
JO - Revista Matemática Iberoamericana
PY - 1995
VL - 11
IS - 2
SP - 247
EP - 267
AB - In this paper we discuss the uniqueness of positive solutions of the nonlinear second order system -u'' = g(v), -v'' = f(u) in (-R,R), u(±R) = v(±R) = 0 where f and g satisfy some appropriate conditions. Our result applies, in particular, to g(v) = v, f(u) = up, p > 1, or f(u) = λu + a1up1 + ... + akupk, with pj > 1, aj > 0 for j = 1, ..., k and 0 ≤ λ < μ12 where μ1 = π2/4R2.
LA - eng
KW - Sistemas no lineales; Ecuaciones en derivadas parciales no lineales; Ecuaciones de segundo orden; Solución numérica; Unicidad; boundary value problem; uniqueness of positive solutions; nonlinear second order system; maximum principle
UR - http://eudml.org/doc/39478
ER -
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