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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN

Trudy Inst. Mat. i Mekh. UrO RAN, 2019, Volume 25, Number 3, Pages 118–128 (Mi timm1652)

On the Theory of Positional Differential Games for Neutral-Type Systems
N. Yu. Lukoyanov, A. R. Plaksin

This publication is cited in the following articles:
  1. M. I. Gomoyunov, “Control Problems for Fractional-Order Systems: Formalism of Hamilton–Jacobi Equations and Methods for Constructing Optimal Feedback Strategies”, Diff Equat, 61:S1 (2025), 1  crossref
  2. M. I. Gomoyunov, N. Yu. Lukoyanov, “Minimax solutions of Hamilton–Jacobi equations in dynamic optimization problems for hereditary systems”, Russian Math. Surveys, 79:2 (2024), 229–324  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  3. Anton Plaksin, “Optimal Positional Strategies in Differential Games for Neutral-Type Systems”, Dyn Games Appl, 2024  crossref
  4. A. V. Kim, “Vvedenie v teoriyu pozitsionnykh differentsialnykh igr sistem s posledeistviem (na osnove metodologii $i$-gladkogo analiza”, Vestnik rossiiskikh universitetov. Matematika, 29:147 (2024), 268–295  mathnet  crossref
  5. M. I. Gomoyunov, N. Yu. Lukoyanov, “The value and optimal strategies in a positional differential game for a neutral-type system”, Proc. Steklov Inst. Math., 327: suppl. 1 (2024), S112–S123  mathnet  crossref  crossref  isi  elib
  6. Anton Plaksin, “Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems”, Appl Math Optim, 88:1 (2023)  crossref
  7. E. M. Mukhsinov, “About one differential game of neutral type with integral restrictions in Hilbert space”, Ufa Math. J., 14:3 (2022), 86–96  mathnet  crossref  mathscinet
  8. A. R. Plaksin, “On the minimax solution of the Hamilton-Jacobi equations for neutral-type systems: the case of an inhomogeneous Hamiltonian”, Differ. Equ., 57:11 (2021), 1516–1526  crossref  mathscinet  isi  scopus


© Steklov Math. Inst. of RAS, 2026