Öz
Anahtar Kelimeler
Kaynakça
- A. Constantin, Positive solutions of quasilinear elliptic equations, J. Math. Anal. Appl. 213 (1997), 334-339
- A. Constantin, On the existence of positive solutions of second order differential equations, Ann. Mat. Pura Appl. 184 (2005), 131-138
- S. Djebali, T. Moussaoui, O.G. Mustafa, Positive evanescent solutions of nonlinear elliptic equations, J. Math. Anal. Appl. 333 (2007), 863-870
- J. Dugundji, A. Granas, Fixed Point Theory, Vol. I, Polish Sci. Publ., Warszawa, 1982
- M. Ehrnström, Positive solutions for second-order nonlinear differential equations, Nonlinear Anal. TMA 64 (2006), 1608-1620
- M. Ehrnström, O.G. Mustafa, On positive solutions of a class of nonlinear elliptic equations, Nonlinear Anal. TMA 67 (2007), 1147-1154
- P. Hartman, On non-oscillatory linear differential equations of second order, Amer. J. Math. 74 (1952), 389-400
- Z. Yin, Monotone positive solutions of second-order nonlinear differential equations, Nonlinear Anal. TMA 54 (2003), 391-403
Öz
We investigate the existence of solutions to a boundary value problem for a second order ordinary
differential equation (ODE) over an unbounded interval. The conclusions are useful in studying certain
reaction-diffusion equations via the comparison method.
Anahtar Kelimeler
ordinary differential equation boundary value problem fixed point theory
Kaynakça
- A. Constantin, Positive solutions of quasilinear elliptic equations, J. Math. Anal. Appl. 213 (1997), 334-339
- A. Constantin, On the existence of positive solutions of second order differential equations, Ann. Mat. Pura Appl. 184 (2005), 131-138
- S. Djebali, T. Moussaoui, O.G. Mustafa, Positive evanescent solutions of nonlinear elliptic equations, J. Math. Anal. Appl. 333 (2007), 863-870
- J. Dugundji, A. Granas, Fixed Point Theory, Vol. I, Polish Sci. Publ., Warszawa, 1982
- M. Ehrnström, Positive solutions for second-order nonlinear differential equations, Nonlinear Anal. TMA 64 (2006), 1608-1620
- M. Ehrnström, O.G. Mustafa, On positive solutions of a class of nonlinear elliptic equations, Nonlinear Anal. TMA 67 (2007), 1147-1154
- P. Hartman, On non-oscillatory linear differential equations of second order, Amer. J. Math. 74 (1952), 389-400
- Z. Yin, Monotone positive solutions of second-order nonlinear differential equations, Nonlinear Anal. TMA 54 (2003), 391-403
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Nisan 2008 |
| Yayımlandığı Sayı | Yıl 2008 Cilt: 1 Sayı: 9 |