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Nonlinear two-point iterative functional boundary value problems on time scales

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Abstract

This paper is concerned with second order iterative functional boundary value problem with two-point boundary conditions on time scales. By utilizing Schauder fixed point theorem and contraction map** principle, we establish some sufficient conditions for the existence, uniqueness and continuous dependence of bounded solutions. Finally, we provide an example to support our main results.

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Acknowledgements

The authors would like to thank the referees for their valuable suggestions and comments for the improvement of the paper.

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The study was carried out in collaboration of all authors. All authors read and approved the final manuscript.

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Correspondence to Mahammad Khuddush.

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Khuddush, M., Prasad, K.R. Nonlinear two-point iterative functional boundary value problems on time scales. J. Appl. Math. Comput. 68, 4241–4251 (2022). https://doi.org/10.1007/s12190-022-01703-4

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  • DOI: https://doi.org/10.1007/s12190-022-01703-4

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