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Lyapunov Inequalities for Some Differential Equations with Integral-Type Boundary Conditions

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Advances in Mathematical Inequalities and Applications

Part of the book series: Trends in Mathematics ((TM))

Abstract

In this work, we derive a Lyapunov-type inequality for a fractional problem depending on an integral boundary condition. We believe our results to be new even for the classical integer-order derivative case.

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Acknowledgements

Rui Ferreira was supported by the “Fundação para a Ciência e a Tecnologia (FCT)” through the program “Investigador FCT” with reference IF/01345/2014.

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Authors and Affiliations

  1. Grupo Física-Matemática, Faculdade de Ciências, Universidade de Lisboa, Av. Prof. Gama Pinto, 2, 1649-003, Lisboa, Portugal

    Rui A. C. Ferreira

  2. Departamento de Ciências e Tecnologia, Universidade Aberta, 1250-052, Lisboa, Portugal

    Rui A. C. Ferreira

Authors
  1. Rui A. C. Ferreira
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Correspondence to Rui A. C. Ferreira .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Anand International College of Engineering, Jaipur, India

    Praveen Agarwal

  2. Department of Mathematics, Victoria University, Melbourne, VIC, Australia

    Silvestru Sever Dragomir

  3. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Mohamed Jleli

  4. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Bessem Samet

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Ferreira, R.A.C. (2018). Lyapunov Inequalities for Some Differential Equations with Integral-Type Boundary Conditions. In: Agarwal, P., Dragomir, S., Jleli, M., Samet, B. (eds) Advances in Mathematical Inequalities and Applications. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-3013-1_3

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