Dynamics of the Eigen and the Crow-Kimura models for molecular evolution, Physical Review E, vol.38, issue.4, p.41908, 2008. ,
DOI : 10.1023/A:1026577012763
On a solution to the Cauchy problem for the HamiltonJacobi equation with state constraints, Trudy Inst. Mat. i Mekh. UrO RAN, vol.17, issue.2, pp.191-208, 2011. ,
Construction of a Continuous Minimax/Viscosity Solution of the Hamilton JacobiBellman Equation with Nonextendable Characteristics, Trudy Inst. Mat. i Mekh. UrO RAN, vol.20, issue.4, pp.247-257 ,
On the continuous extension of a generalized solution of the Hamilton???Jacobi equation by characteristics that form a central field of extremals, Proceedings of the Steklov Institute of Mathematics, vol.293, issue.S1, pp.220-235 ,
DOI : 10.1134/S0081543816050175
Applications of Dynamic Programming to Generalized Solutions for Hamilton ??? Jacobi Equations with State Constraints, SOP Transactions on Applied Mathematics, vol.1, issue.2, pp.70-83, 2014. ,
DOI : 10.15764/AM.2014.02007
Generalized solutions of nonlinear equations of the first order with several variables, pp.394-415, 1966. ,
Viscosity solutions of Hamilton-Jacobi equations, Transactions of the American Mathematical Society, vol.277, issue.1, pp.1-42, 1983. ,
DOI : 10.1090/S0002-9947-1983-0690039-8
Generalized Solutions of First Order PDEs: The Dynamical Optimization Perspective, 1995. ,
DOI : 10.1007/978-1-4612-0847-1
Hamilton-Jacobi equations with state constraints, Transactions of the American Mathematical Society, vol.318, issue.2, pp.643-683, 1990. ,
DOI : 10.1090/S0002-9947-1990-0951880-0
Optimization and nonsmooth analysis, 1983. ,
DOI : 10.1137/1.9781611971309
Viscosity solutions of Hamilton-Jacobi equations at the boundary, Proc. of the AMS, pp.283-290, 1985. ,
DOI : 10.1090/S0002-9939-1985-0784180-6
Convex Analysis, 1970. ,
DOI : 10.1515/9781400873173
The Mathematical Theory of Optimal Processes, 1964. ,
The method of characteristics for Hamilton?Jacobi equation and its applications in dynamical optimization, Modern Mathematics and its Applications, vol.20, pp.2955-3091, 2004. ,
The method of characteristics for Hamilton?Jacobi?Bellman equation, RIO UrO RAN, 2013. ,