References

 Vasil’ev F.P. Metody optimizatsii (Optimization methods), vols. 1, 2, Moscow: Moscow Center for Continuous Mathematical Education, 2011, 620 p., 432 p.
 Sumin M.I. Stable sequential convex programming in a Hilbert space and its application for solving unstable problems, Comput. Math. Math. Phys., 2014, vol. 54, issue 1, pp. 2244. DOI: 10.1134/S0965542514010138
 Sumin M.I. A regularized gradient dual method for the inverse problem of a final observation for a parabolic equation, Comput. Math. Math. Phys., 2004, vol. 44, issue 11, pp. 19031921.
 Sumin M.I. Dualitybased regularization in a linear convex mathematical programming problem, Comput. Math. Math. Phys., 2007, vol. 47, issue 4, pp. 579600. DOI: 10.1134/S0965542507040045
 Sumin M.I. Nekorrektnye zadachi i metody ikh resheniya. Materialy k lektsiyam dlya studentov starshikh kursov: Uchebnoe posobie (Illposed problems and their solutions. Materials for lectures for senior students: Textbook), Nizhnii Novgorod: Lobachevsky State University of Nizhnii Novgorod, 2009, 289 p.
 Sumin M.I. Regularized parametric KuhnTucker theorem in a Hilbert space, Comput. Math. Math. Phys., 2011, vol. 51, issue 9, pp. 14891509. DOI: 10.1134/S0965542511090156
 Sumin M.I. On the stable sequential KuhnTucker theorem and its applications, Applied Mathematics, 2012, vol. 3, issue 10, pp. 13341350. DOI: 10.4236/am.2012.330190
 Raymond J.P., Zidani H. Pontryagin's principle for stateconstrained control problems governed by parabolic equations with unbounded controls, SIAM J. Control Optim., 1998, vol. 36, issue 6, pp. 18531879. DOI: 10.1137/S0363012996302470
 Casas E., Raymond J.P., Zidani H. Pontryagin's principle for local solutions of control problems with mixed controlstate constraints, SIAM J. Control Optim., 2000, vol. 39, issue 4, pp. 11821203. DOI: 10.1137/S0363012998345627
 Sumin M.I. Suboptimal control of a semilinear elliptic equation with a phase constraint and a boundary control, Differential Equations, 2001, vol. 37, issue 2, pp. 281300. DOI: 10.1023/A:1019226011838
 Sumin M.I. Parametric dual regularization for an optimal control problem with pointwise state constraints, Comput. Math. Math. Phys., 2009, vol. 49, issue 12, pp. 19872005. DOI: 10.1134/S096554250912001X
 Sumin M.I. Regularized sequential Pontryagin maximum principle in the convex optimal control with pointwise state constraints, Izv. Inst. Mat. Inform. Udmurt. Gos. Univ., 2012, issue 1 (39), pp. 130133 (in Russian).
 Sumin M.I. Stable sequential Pontryagin maximum principle in optimal control problem with state constraints, XII Vserossiiskoe soveshchanie po problemam upravleniya (VSPU–2014): Trudy (Proc. XII AllRussia Conf. on Control Problems (RCCP–2014)), Moscow: Inst. of Control Problems, 2014, pp. 796808 (in Russian).
 Sumin M.I. Stable sequential Pontryagin maximum principle in optimal control for distributed systems, Dinamika sistem i protsessy upravleniya: Trudy Mezhdunarodnoi konferentsii (System dynamic and control processes: Proceedings of Int. Conf. Dedicated to the 90th Anniversary of Academician N.N. Krasovskii), Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, 2015, pp. 301308 (in Russian).
 Sumin M.I. Subdifferentiability of value functions and regularization of Pontryagin maximum principle in optimal control for distributed systems, Vestn. Tambov. Univ. Ser. Estestv. Tekh. Nauki, 2015, vol. 20, issue 5, pp. 14611477 (in Russian).
 Sumin M.I. On the stable sequential Lagrange principle in the convex programming and its applications for solving unstable problems, Trudy Inst. Mat. Mekh. Ural Otd. Ross. Akad. Nauk, 2013, vol. 19, no. 4, pp. 231240 (in Russian).
 Warga J. Optimal control of differential and functional equations, New York: Academic Press, 1972, 531 p. Translated under the title Optimal'noe upravlenie differentsial'nymi i funktsional'nymi uravneniyami, Moscow: Nauka, 1977, 624 p.
 Sumin M.I. Dual regularization and Pontryagin's maximum principle in a problem of optimal boundary control for a parabolic equation with nondifferentiable functionals, Proc. Steklov Inst. Math., 2011, vol. 275, suppl. 1, pp. 161177. DOI: 10.1134/S0081543811090124
 Gorshkov A.A. On dual regularization in convex programming in uniformly convex space, Vestn. Nizhegorod. Univ. N.I. Lobachevskogo, 2013, no. 3 (1), pp. 172180 (in Russian).
 Gorshkov A.A., Sumin M.I. The stable Lagrange principle in sequential form for the problem of convex programming in uniformly convex space and its applications, Russian Mathematics, 2015, vol. 59, issue 1, pp. 1123. DOI: 10.3103/S1066369X15010028
 Gorshkov A.A. Regularized Pontryagin maximum principle in optimal control for a parabolic equation with phase constraints in Lebesgue spaces, Vestn. Tambov. Univ. Ser. Estestv. Tekh. Nauki, 2015, vol. 20, issue 5, pp. 11041110 (in Russian).
 Ladyzhenskaya O.A., Solonnikov V.A., Ural'tseva N.N. Linear and quasilinear equations of parabolic type, Providence, R.I.: AMS, 1968, 648 p.
 Vladimirov A.A., Nesterov Yu.E., Chekanov Yu.N. On uniformly convex functionals, Mosc. Univ. Comput. Math. Cybern., 1978, no. 3, pp. 1021.
 Ekeland I., Temam R. Convex analysis and variational problems, SIAM, 1999, 402 p.
 Aubin J.P., Ekeland I. Applied nonlinear analysis, New York: John Wiley and Sons, 1988, 584 p.
 Mordukhovich B.S. Variational analysis and generalized differentiation. I: Basic Theory, Berlin: Springer, 2006, 595 p.
