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critical-point theory

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

The Applications of Critical-Point Theory to Discontinuous Fractional-Order Differential Equations
Part of
- General theory in ordinary differential equations
- Variational problems in infinite-dimensional spaces
Yu Tian, Juan J. Nieto
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 60 / Issue 4 / November 2017

Published online by Cambridge University Press:

16 March 2017, pp. 1021-1051
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We consider a fractional equation involving the left and right Riemann–Liouville fractional integrals and with Sturm–Liouville boundary-value conditions. We establish the variational structure of the problem and, by using critical-point theory, the existence of an unbounded sequence of solutions is obtained.