Abstract
We study the existence of solutions to nonlinear boundary value problems for second order quasilinear ordinary differential equations involving bounded ϕ-Laplacian, subject to integral boundary conditions formulated in terms of Riemann-Stieltjes integrals.
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Acknowledgements
We would like to thank the Referee for noticing a mistake in the statement of Theorem 2.1.
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In memory of Professor Jaroslav Kurzweil
Open Access funding provided by Adam Mickiewicz University within the CRUI-CARE Agreement.
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Bugajewska, D., Mawhin, J. Boundary value problems with bounded ϕ-Laplacian and nonlocal conditions of integral type. Czech Math J (2023). https://doi.org/10.21136/CMJ.2023.0154-23
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DOI: https://doi.org/10.21136/CMJ.2023.0154-23
Keywords
- boundary value problem
- ϕ-Laplacian
- functions of bounded variation
- Riemann-Stieltjes integral
- prescribed curvature