We prove the existence, uniqueness, thermodynamic consistency, global boundedness from both above and below, and continuous data dependence for a solution to an integrodifferential model for nonisothermal phase transitions under nonhomogeneous mixed boundary conditions. The specific heat is allowed to depend on the order parameter, and the convex component of the free energy may or may not be s...

In this paper, existence, uniqueness and continuity of the adapted solutions for neutral stochastic delay Volterra equations with singular kernels are discussed. In addition, continuous dependence on the initial date is also investigated. Finally, stochastic Volterra equation with the kernel of fractional Brownian motion is studied to illustrate the effectiveness of our results.

In this paper we consider the European continuous installment call option. Then  its linear complementarity formulation is given. Writing the resulted problem in variational form, we prove the existence and uniqueness of its weak solution. Finally finite element method is applied to price the European continuous installment call option.

This paper examines the existence of solutions to continuous Redner-Ben-Avraham-Kahng coagulation system under specific growth conditions on unbounded kernels at infinity. Moreover, questions related uniqueness and dependence data are also addressed additional restrictions. Finally, large-time behaviour is investigated.