On the nonexistence of Lp solutions of certain nonlinear differential equations
Glasgow mathematical journal, Tome 8 (1967) no. 2, pp. 133-138

Voir la notice de l'article provenant de la source Cambridge University Press

The asymptotic behavior of the solutions of ordinary nonlinear differential equations will be considered here. The growth of the solutions of a differential equation will be discussed by establishing criteria to determine when the differential equation does not possess a solution that is an element of the space Lp(0, ∞)(p ≧ 1).
Hallam, Thomas G. On the nonexistence of Lp solutions of certain nonlinear differential equations. Glasgow mathematical journal, Tome 8 (1967) no. 2, pp. 133-138. doi: 10.1017/S0017089500000203
@article{10_1017_S0017089500000203,
     author = {Hallam, Thomas G.},
     title = {On the nonexistence of {Lp} solutions of certain nonlinear differential equations},
     journal = {Glasgow mathematical journal},
     pages = {133--138},
     year = {1967},
     volume = {8},
     number = {2},
     doi = {10.1017/S0017089500000203},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500000203/}
}
TY  - JOUR
AU  - Hallam, Thomas G.
TI  - On the nonexistence of Lp solutions of certain nonlinear differential equations
JO  - Glasgow mathematical journal
PY  - 1967
SP  - 133
EP  - 138
VL  - 8
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500000203/
DO  - 10.1017/S0017089500000203
ID  - 10_1017_S0017089500000203
ER  - 
%0 Journal Article
%A Hallam, Thomas G.
%T On the nonexistence of Lp solutions of certain nonlinear differential equations
%J Glasgow mathematical journal
%D 1967
%P 133-138
%V 8
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500000203/
%R 10.1017/S0017089500000203
%F 10_1017_S0017089500000203

[1] 1.Bellman, R., Stability theory of differential equations, McGraw-Hill (New York, 1953), p. 116. Google Scholar

[2] 2.Burlak, J., On the nonexistence of L 2 solutions of a class of nonlinear differential equations, Proc. Edinburgh Math. Soc. 14 (1965), 257–268. Google Scholar | DOI

[3] 3.Hartman, P., Ordinary differential equations, Wiley (New York, 1964). Google Scholar

[4] 4.Kurss, H., A limit point criterion for nonoscillatory Sturm-Liouville differential operators; to appear. Google Scholar

[5] 5.Ševelo, V. N. and Štelik, V. G., Certain problems concerning the oscillation of solutions of nonlinear nonautonomous second order equations, Soviet Math. Dokl. 4 (1963), 383–387. Google Scholar

[6] 6.Suyemoto, L. and Waltman, P., Extension of a theorem of A. Wintner, Proc. Amer. Math. Soc. 14 (1963), 970–971. Google Scholar | DOI

[7] 7.Tricomi, F. G., Differential equations, Hafner (New York, 1961). Google Scholar

[8] 8.Wintner, A., A criterion for the nonexistence of (L P)-solutions of a nonoscillatory differential equation, London Math. Soc. 25 (1950), 347–351. Google Scholar

Cité par Sources :