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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2023 / Cilt: 72 Sayı: 3

Existence of solutions for impulsive boundary value problems on infinite intervals

Sibel DOĞRU AKGÖL
Sayfa
721–736
Yayın Tarihi
2023-09-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Additional results about the existence of bounded solutions are also provided, and theoretical results are supported by an illustrative example.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The paper deals with the existence of solutions for a general class of second-order nonlinear impulsive boundary value problems defined on an infinite interval.
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Temel Bulgular & Veri:The main innovative aspects of the study are that the results are obtained under relatively mild conditions and the use of principal and nonprincipal solutions that were obtained in a very recent study.
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Sonuç & Katkı:Additional results about the existence of bounded solutions are also provided, and theoretical results are supported by an illustrative example.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Second-order · nonlinear · impulsive

Abstract

The paper deals with the existence of solutions for a general class of second-order nonlinear impulsive boundary value problems defined on an infinite interval. The main innovative aspects of the study are that the results are obtained under relatively mild conditions and the use of principal and nonprincipal solutions that were obtained in a very recent study. Additional results about the existence of bounded solutions are also provided, and theoretical results are supported by an illustrative example.

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Bu Makaleye Atıf Yap

AKGÖL, S. D. (2023). Existence of solutions for impulsive boundary value problems on infinite intervals. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 72 Sayı: 3, 721–736. https://ajindex.com/articles/964134

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Kaynakça (12)

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  2. Akgöl, S. D., Zafer, A., Boundary value problems on half-line for second-order nonlinear impulsive differential equations, Math. Meth. Appl. Sci., 41 (2018), 5459–5465. https://doi.org/10.1002/mma.5089
  3. Akgöl, S.D., Zafer, A., A fixed point approach to singular impulsive boundary value problems, AIP Conference Proceedings, 1863 (2017), 140003. https://doi.org/10.1063/1.4992310
  4. Akgöl, S. D., Zafer, A., Prescribed asymptotic behavior of second-order impulsive differential equations via principal and nonprincipal solutions, J. Math. Anal. Appl., 503(2) (2021), 125311. https://doi.org/10.1016/j.jmaa.2021.125311
  5. Akgöl, S. D., Zafer, A., Leighton and Wong type oscillation theorems for impulsive differential equations, Appl. Math. Lett., 121 (2021), 107513. https://doi.org/10.1016/j.aml.2021.107513
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  7. Ertem, T., Zafer, A., Existence of solutions for a class of nonlinear boundary value problems on half-line, Bound. Value Probl., 43 (2012). https://doi.org/10.1186/1687-2770-2012-43
  8. Hanche-Olsen, H., Holden, H., The Kolmogorov-Riesz compactness theorem, Expo. Math., 28 (2010), 385-394. https://doi.org/10.1016/j.exmath.2010.03.001
  9. Iswarya, M., Raja, R., Rajchakit, G., Cao, J., Alzabut, J., Huang, C., A perspective on graph theory-based stability analysis of impulsive stochastic recurrent neural networks with timevarying delays, Adv. Differ. Equ., 502 (2019). https://doi.org/10.1186/s13662-019-2443-3
  10. Karaca, İ. Y., Aksoy, S., Existence of positive solutions for second-order impulsive differential equations with integral boundary conditions on the real line, Filomat, 35(12) (2021), 4197-4208. https://doi.org/10.2298/FIL2112197K
  11. Kayar, Z., An existence and uniqueness result for linear fractional impulsive boundary value problems as an application of Lyapunov type inequality, Hacet. J. Math. Stat., 47(2) (2018), 287-297. Doi:10.15672/HJMS.2017.463 Li, Z., Shu, X. B., Xu, F., The existence of upper and lower solutions to second-order random impulsive differential equation with boundary value problem, AIMS Mathematics, 5(6) (2020), 6189-6210. https://doi.org/10.3934/math.2020398
  12. Özbekler, A., Zafer, A., Principal and nonp