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Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
On The Solvability Of The Main Boundary Value Problems For A Nonlocal Poisson Equation, Valery Karachik, Abdizhahan Sarsenbi, Batirkhan Turmetov
On The Solvability Of The Main Boundary Value Problems For A Nonlocal Poisson Equation, Valery Karachik, Abdizhahan Sarsenbi, Batirkhan Turmetov
Turkish Journal of Mathematics
Solvability of the main boundary value problems for the nonlocal Poisson equation is studied. Existence and uniqueness theorems for the considered problems are obtained. The necessary and sufficient solvability conditions for all problems are given and integral representations for the solutions are constructed.
Quantum Integral Equations Of Volterra Type In Terms Of Discrete-Time Normal Martingale, Jinshu Chen, Yuling Tang
Quantum Integral Equations Of Volterra Type In Terms Of Discrete-Time Normal Martingale, Jinshu Chen, Yuling Tang
Turkish Journal of Mathematics
In this paper, we aim to introduce a quantum linear stochastic Volterra integral equation of convolution type with operator-valued kernels in a nuclear topological algebra. We first establish the existence and uniqueness of the solutions and give the explicit expression of the solutions. Then we prove the continuity, continuous dependence on free terms and other properties of the solution.