KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 6

Existence results for nonlinear boundary value problems with m-point integral boundary condition

Tuğba ŞENLİK ÇERDİK
Nüket AYKUT HAMAL
Sayfa
1521–1536
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

As an application, two examples are given to demonstrate our results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we investigate the existence of positive solutions for the nonlinear m-point boundary value problems with integral boundary condition.
📊
Temel Bulgular & Veri:By using xed-point index theorem and Leggett- Williams xed point theorem, the existence and multiplicity of positive solutions are obtained.
💡
Sonuç & Katkı:As an application, two examples are given to demonstrate our results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we investigate the existence of positive solutions for the nonlinear m-point boundary value problems with integral boundary condition. By using xed-point index theorem and Leggett- Williams xed point theorem, the existence and multiplicity of positive solutions are obtained. As an application, two examples are given to demonstrate our results.

🔖

Bu Makaleye Atıf Yap

ÇERDİK, T. Ş., HAMAL, N. A. (2022). Existence results for nonlinear boundary value problems with m-point integral boundary condition. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 6, 1521–1536. https://ajindex.com/articles/529856

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (18)

  1. Corduneanu, C., Integral Equations and Applications, Cambridge University Press,
  2. Cam-bridge, UK, 1991.
  3. Picone, M., Su un problema al contorno nelle equazioni di erenziali lineari ordinarie del secondo ordine (in Italian), Ann. Scuola Norm. Sup. Pisa Cl. Sci. 10, 1-95, 1908.
  4. Boucherif, A., Second-order boundary value problems with integral boundary conditions, Nonlinear Anal. 70, 364-371, 2009.
  5. Ntouyas, S. K., Nonlocal initial and boundary value problems: a survey, in: Handbook of di erential equations: ordinary di erential equations, Vol. II, Elsevier B. V., Amsterdam, 461-557, 2005.
  6. Bitsadze, A. V., Samarskii, A. A., Some elementary generalizations of linear elliptic bound-ary value problems (in Russian), Anal. Dokl. Akad. Nauk SSSR, 185(1969), 739-740, English translation: Soviet Math. Dokl. 10, 398-400, 1969.
  7. Il'in, V. A., Moiseev, E. I., Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator, Di er. Equ. 23, 979-987, 1987.
  8. Yoruk, F., Hamal, N. A., Existence results for nonlinear boundary value problems with integral boundary conditions on an in nite interval, Bound. Value Probl., 2012:127, 17 pp., 2012. doi:10.1186/1687-2770-2012-127.
  9. Boucherif, A., Second-order boundary value problems with integral boundary conditions, Nonlinear Anal. 70, 364-371, 2009.
  10. Jankowski, T., Positive solutions for fourth-order di erential equations with deviating ar-guments and integral boundary conditions, Nonlinear Anal. 73, 1289-1299, 2010.
  11. Zhang, X, Feng, M., Ge, W., Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces, Nonlinear Anal. 69, 3310-3321, 2008
  12. Feng, M., Ji, D., Ge, W., Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces, J. Comput. Appl. Math. 222, 351-363, 2008.
  13. Tariboon, J., Sudsutad, W., Positive solutions of a nonlinear m-point integral boundary value problem, Appl. Math. Sci. 6, 711-729, 2012.
  14. Agarwal, R. P., O 0Regan, D., In nite Interval Problems for Di erential, Di erence and Integral Equations, Kluwer Academic Publishers,
  15. Dordrecht, The Netherlands, 2001.
  16. Guo, D., Lashmikanthan, V., Nonlinear Problems in Abstract Cones, Academic Press, San Diego, 1988.
  17. Whyburn, W. M. Di erential equations with general boundary conditions, Bull. Amer. Math. Soc. 48, 692-704, 1942.
  18. Webb, J. R. L., Infante, G., Positive solutions of nonlocal boundary value problems: a uni ed approach, J. London Math. Soc. 74, 673-693, 2006