Upper and lower solutions for singularly perturbed semilinear Neumann's problem
Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 175-180.

Voir la notice de l'article dans Czech Digital Mathematics Library

The paper establishes sufficient conditions for the existence of solutions of Neumann's problem for the differential equation $\mu y"+ky=f(t,y)$ which tend to the solution of the reduced problem $ky=f(t,y)$ on $[0,1]$ as $\mu\to0.$
DOI : 10.21136/MB.1997.125912
Classification : 34B15, 34E15, 34E20, 35B10
Mots-clés : singularly perturbed equation; Neumann’s problem 
@article{10_21136_MB_1997_125912,
     author = {Vr\'abe\v{l}, R\'obert},
     title = {Upper and lower solutions for singularly perturbed semilinear {Neumann's} problem},
     journal = {Mathematica Bohemica},
     pages = {175--180},
     publisher = {mathdoc},
     volume = {122},
     number = {2},
     year = {1997},
     doi = {10.21136/MB.1997.125912},
     mrnumber = {1460947},
     zbl = {0893.34052},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/MB.1997.125912/}
}
TY  - JOUR
AU  - Vrábeľ, Róbert
TI  - Upper and lower solutions for singularly perturbed semilinear Neumann's problem
JO  - Mathematica Bohemica
PY  - 1997
SP  - 175
EP  - 180
VL  - 122
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/MB.1997.125912/
DO  - 10.21136/MB.1997.125912
LA  - en
ID  - 10_21136_MB_1997_125912
ER  - 
%0 Journal Article
%A Vrábeľ, Róbert
%T Upper and lower solutions for singularly perturbed semilinear Neumann's problem
%J Mathematica Bohemica
%D 1997
%P 175-180
%V 122
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/MB.1997.125912/
%R 10.21136/MB.1997.125912
%G en
%F 10_21136_MB_1997_125912
Vrábeľ, Róbert. Upper and lower solutions for singularly perturbed semilinear Neumann's problem. Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 175-180. doi : 10.21136/MB.1997.125912. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.1997.125912/

Cité par Sources :