MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS

Elif Demirci; Nuri Özalp

doi:10.1501/Commua1_0000000693

MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS

Yıl 2013, Cilt: 62 Sayı: 2, 1 - 10, 01.08.2013

Elif Demirci Nuri Özalp

https://doi.org/10.1501/Commua1_0000000693

Öz

By the help of upper and lower solutions, the monoton iterative
technique is applied to a coupled system of first order ordinary differential
equations with initial conditions depending on a function of end points. Some
existence and uniqueness results are obtained. An example for a predator-prey
system is given.

Anahtar Kelimeler

Monotone technique, upper and lower solutions, existence and uniqueness, predator-prey

Kaynakça

T. Jankowski, Ordinary diğerential equations with nonlinear boundary conditions. Georgian Mathematical Journal 9(2002), No. 2, 287-294.
G. S. Ladde, V. Lakshmikantham, and A. S. Vatsala, Monotone iterative techniques for nonlinear diğerential equations. Pitman, Boston, 1985.
V. Lakshmikantham, Further improvements of generalized quasilinearization method. Non- linear Anal. 27(1996), 223-227.
V. Lakshmikantham, S. Leela and S. Sivasundaram, Extentions of the method of quasilin- earization. J. Optim. Theory Appl. 87(1995), 379-401.
V. Lakshmikantham, N. Shahzad and J. J. Nieto, Methods of generalized quasilinearization for periodic boundary value problems. Nonlinear Anal. 27(1996), 143-151.
V. Lakshmikantham and N. Shahzad, Further generalization of generalized quasilinearization method. J. Appl. Math. Stochastic Anal. 7(1994), No. 4, 545-552.
V. Lakshmikantham and A. S. Vatsala, Generalized quasilinearization for nonlinear problems. Mathematics and its Applications, 440. Kluwer Academic Publishers, Dordrecht, 1998.
Y. Yin, Remarks on …rst order diğerential equations with anti-periodic boundary conditions. Nonlinear Times Digest 2(1995), No. 1, 83-94.
Y. Yin, Monotone iterative technique and quasilinearization for some anti-periodic problems. Nonlinear World 3,(1996), 253-266.

Yıl 2013, Cilt: 62 Sayı: 2, 1 - 10, 01.08.2013

Elif Demirci Nuri Özalp

https://doi.org/10.1501/Commua1_0000000693

Öz

Kaynakça

T. Jankowski, Ordinary diğerential equations with nonlinear boundary conditions. Georgian Mathematical Journal 9(2002), No. 2, 287-294.
G. S. Ladde, V. Lakshmikantham, and A. S. Vatsala, Monotone iterative techniques for nonlinear diğerential equations. Pitman, Boston, 1985.
V. Lakshmikantham, Further improvements of generalized quasilinearization method. Non- linear Anal. 27(1996), 223-227.
V. Lakshmikantham, S. Leela and S. Sivasundaram, Extentions of the method of quasilin- earization. J. Optim. Theory Appl. 87(1995), 379-401.
V. Lakshmikantham, N. Shahzad and J. J. Nieto, Methods of generalized quasilinearization for periodic boundary value problems. Nonlinear Anal. 27(1996), 143-151.
V. Lakshmikantham and N. Shahzad, Further generalization of generalized quasilinearization method. J. Appl. Math. Stochastic Anal. 7(1994), No. 4, 545-552.
V. Lakshmikantham and A. S. Vatsala, Generalized quasilinearization for nonlinear problems. Mathematics and its Applications, 440. Kluwer Academic Publishers, Dordrecht, 1998.
Y. Yin, Remarks on …rst order diğerential equations with anti-periodic boundary conditions. Nonlinear Times Digest 2(1995), No. 1, 83-94.
Y. Yin, Monotone iterative technique and quasilinearization for some anti-periodic problems. Nonlinear World 3,(1996), 253-266.

Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Research Article
Yazarlar	Elif Demirci Bu kişi benim Nuri Özalp Bu kişi benim
Yayımlanma Tarihi	1 Ağustos 2013
Yayımlandığı Sayı	Yıl 2013 Cilt: 62 Sayı: 2

Kaynak Göster

APA	Demirci, E., & Özalp, N. (2013). MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 62(2), 1-10. https://doi.org/10.1501/Commua1_0000000693
AMA	Demirci E, Özalp N. MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2013;62(2):1-10. doi:10.1501/Commua1_0000000693
Chicago	Demirci, Elif, ve Nuri Özalp. “MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62, sy. 2 (Ağustos 2013): 1-10. https://doi.org/10.1501/Commua1_0000000693.
EndNote	Demirci E, Özalp N (01 Ağustos 2013) MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62 2 1–10.
IEEE	E. Demirci ve N. Özalp, “MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 62, sy. 2, ss. 1–10, 2013, doi: 10.1501/Commua1_0000000693.
ISNAD	Demirci, Elif - Özalp, Nuri. “MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62/2 (Ağustos 2013), 1-10. https://doi.org/10.1501/Commua1_0000000693.
JAMA	Demirci E, Özalp N. MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013;62:1–10.
MLA	Demirci, Elif ve Nuri Özalp. “MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 62, sy. 2, 2013, ss. 1-10, doi:10.1501/Commua1_0000000693.
Vancouver	Demirci E, Özalp N. MONOTONE ITERATIVE TECHNIQUE FOR A COUPLED SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013;62(2):1-10.