Weighted pseudo almost automorphic sequences and their applications.
Existence of solutions to fractional order ordinary and delay differential equations and applications.
Existence of solutions to quasilinear functional differential equations.
Stochastically perturbed allelopathic phytoplankton model.
On near-optimal necessary and sufficient conditions for forward-backward stochastic systems with jumps, with applications to finance
We establish necessary and sufficient conditions of near-optimality for nonlinear systems governed by forward-backward stochastic differential equations with controlled jump processes (FBSDEJs in short). The set of controls under consideration is necessarily convex. The proof of our result is based on Ekeland's variational principle and continuity in some sense of the state and adjoint processes with respect to the control variable. We prove that under an additional hypothesis, the near-maximum...
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