Huang, Jian-Ping; Zhou, Hua-Cheng Infinite horizon linear quadratic optimal control problems for singular Volterra integral equations. (English) Zbl 07966983 SIAM J. Control Optim. 63, No. 1, 57-85 (2025). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 45D05 45F15 45G05 49N10 26A33 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Min; Li, Na; Wu, Zhen Linear-quadratic mean-field game for stochastic systems with partial observation. (English) Zbl 07963701 Automatica 171, Article ID 111821, 13 p. (2025). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pandolfi, Luciano The quadratic tracking problem for systems with persistent memory in \(\mathbb{R}^d\). (English) Zbl 07962668 Evol. Equ. Control Theory 14, No. 1, 185-209 (2025). MSC: 49N10 45D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Ying; Shi, Xiaomin; Xu, Zuo Quan Optimal consumption-investment with constraints in a regime switching market with random coefficients. (English) Zbl 07962326 Appl. Math. Optim. 91, No. 1, Paper No. 5, 44 p. (2025). MSC: 91B16 93E20 60H30 91G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Himonas, A. Alexandrou; Yan, Fangchi A higher-order quadratic NLS equation on the half-line. (English) Zbl 07961656 J. Evol. Equ. 25, No. 1, Paper No. 8, 67 p. (2025). MSC: 35Q55 35G31 35G16 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Krapež, Aleksandar; Lasković, Bojana 3-diagonal equation and planarity of graphs. (English) Zbl 07980425 Publ. Inst. Math., Nouv. Sér. 116(130), 1 - 11 (2024). MSC: 39B52 20N05 05C10 × Cite Format Result Cite Review PDF Full Text: DOI
Dhage, Janhavi B.; Dhage, Shyam B.; Dhage, Bapurao C. A hybrid fixed point theorem for product of two operators in a lattice-ordered Banach algebra with applications to quadratic integral equations. (English) Zbl 07977983 Nonlinear Anal., Model. Control 29, No. 6, 1106-1119 (2024). MSC: 47Hxx 34Axx 45Gxx × Cite Format Result Cite Review PDF Full Text: DOI Link
Tamang, Bal Bahadur; Singh, Ajaya Integer solutions to quadratic Diophantine equations using efficient algorithms with elementary and quadratic ring methods. (English) Zbl 07977071 Nepali Math. Sci. Rep. 41, No. 2, 157-177 (2024). MSC: 11A07 11D45 11A55 11D75 × Cite Format Result Cite Review PDF Full Text: DOI
Mei, Hongwei; Wei, Qingmeng; Yong, Jiongmin Linear-quadratic optimal control problem for mean-field stochastic differential equations with a type of random coefficients. (English) Zbl 07972573 Numer. Algebra Control Optim. 14, No. 4, 813-852 (2024). MSC: 93E20 49N10 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Singh, Parakram A study on solution of two non-linear exponential Diophantine equations \(11^x + 9^y = z^2\) and \(7^x + 17^y = z^2\) in non-negative integer. (English) Zbl 07969891 Gaṇita 74, No. 2, 51-57 (2024). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: Link
Vougalter, Vitali Existence of solutions of some quadratic integral equations in dimensions two and three. (English) Zbl 07969031 Pure Appl. Funct. Anal. 9, No. 5, 1387-1396 (2024). Reviewer: Bhuban Deuri (Doimukh) MSC: 45G10 47N20 47H09 47H10 × Cite Format Result Cite Review PDF Full Text: Link
Aliyu, Mohammad Dikko S. Dynamic-quadratic balancing: a computational approach to balancing and model reduction for affine nonlinear systems. (English) Zbl 07967334 Asian J. Control 26, No. 6, 2891-2905 (2024). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Weng, Peter Chang-Yi A structure-preserving doubling algorithm for the quadratic matrix equation with \(M\)-matrix. (English) Zbl 07966549 Ann. Math. Sci. Appl. 9, No. 2, 367-404 (2024). MSC: 65-XX 15-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Panpan; Xu, Zuo Quan Multidimensional indefinite stochastic Riccati equations and zero-sum stochastic linear-quadratic differential games with non-Markovian regime switching. (English) Zbl 07962968 SIAM J. Control Optim. 62, No. 6, 3239-3265 (2024). MSC: 91A15 91A05 49J55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Qi; Shi, Jingtao Stackelberg stochastic differential games in feedback information pattern with applications. (English) Zbl 07962470 Dyn. Games Appl. 14, No. 5, 1191-1224 (2024). MSC: 91Axx 93E20 49K45 49N10 49N70 60H10 93B52 × Cite Format Result Cite Review PDF Full Text: DOI
Rasulov, X. R. On a Volterra dynamical system of a two-sex population. (English) Zbl 07961764 Lobachevskii J. Math. 45, No. 8, 3975-3985 (2024). MSC: 34C60 92D25 34C05 34D20 34D05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Hongdi; Nguyen, Van C.; Ure, Charlotte; Vashaw, Kent B.; Veerapen, Padmini; Wang, Xingting Twisting of graded quantum groups and solutions to the quantum Yang-Baxter equation. (English) Zbl 07960988 Transform. Groups 29, No. 4, 1459-1500 (2024). MSC: 16T05 16W50 16S37 16T25 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dehghanian, Mehdi; Izadi, Sadegh; Sayyari, Yamin The stability of bi-Drygas functional equation. (English) Zbl 07958999 Sahand Commun. Math. Anal. 21, No. 2, 125-145 (2024). MSC: 47B47 17B40 39B72 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Ashok; Joshi, Anand Ballabh; Ratour, Laxmi Solution of some special type of Diophantine equations in rational numbers. (English) Zbl 07946423 Adv. Stud. Contemp. Math., Kyungshang 34, No. 4, 323-330 (2024). MSC: 11D72 11D09 11D25 × Cite Format Result Cite Review PDF Full Text: DOI
Skrypnyk, T. On a new class of non-dynamical \(ABCD\) algebras for classical and quantum integrable systems. (English) Zbl 07943195 Nucl. Phys., B 1008, Article ID 116685, 18 p. (2024). MSC: 81-XX 83-XX × Cite Format Result Cite Review PDF Full Text: DOI
Izumi, Shinsaku; Xin, Xin Reduction of data amount in data-driven design of linear quadratic regulators. (English) Zbl 07942853 Control Theory Technol. 22, No. 4, 532-542 (2024). MSC: 93C05 93E10 × Cite Format Result Cite Review PDF Full Text: DOI
Xi, Ping; Zheng, Jun Ren Pythagoras equations and quadratic residues. (Chinese. English summary) Zbl 07938024 Acta Math. Sin., Chin. Ser. 67, No. 2, 220-226 (2024). MSC: 11D09 11L40 × Cite Format Result Cite Review PDF Full Text: DOI
Saha, Parbati; Kayal, Nabin C.; Choudhury, Binayak S.; Dutta, Santu; Mondal, Sankar Prasad A fixed point approach to the stability of a quadratic functional equation in modular spaces without \(\Delta_2\)-conditions. (English) Zbl 07935946 Tatra Mt. Math. Publ. 86, 47-64 (2024). MSC: 39B52 39B82 47H10 47H09 × Cite Format Result Cite Review PDF Full Text: DOI
Hosoi, Tatsuya On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence. (English) Zbl 1547.34132 Nonlinearity 37, No. 11, Article ID 115005, 10 p. (2024). MSC: 34M55 34M25 33E17 30B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lv, Siyu; Wu, Zhen; Xiong, Jie Linear quadratic nonzero-sum mean-field stochastic differential games with regime switching. (English) Zbl 07930227 Appl. Math. Optim. 90, No. 2, Paper No. 44, 27 p. (2024). MSC: 91A15 49N10 49N80 × Cite Format Result Cite Review PDF Full Text: DOI
Lü, Qi; Ma, Bowen Time-inconsistent linear quadratic optimal control problem for forward-backward stochastic differential equations. (English) Zbl 07928771 ESAIM, Control Optim. Calc. Var. 30, Paper No. 76, 34 p. (2024). MSC: 93E20 49N10 60H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bouabid, Khadidja; Kechkar, Nasserdine Quadratic B-spline Galerkin scheme for the solution of a space-fractional Burgers’ equation. (English) Zbl 07927174 J. Korean Math. Soc. 61, No. 4, 621-657 (2024). MSC: 65M60 65M06 65N30 65H10 65M12 65M15 65D07 26A33 35R11 76M10 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Grechuk, Bogdan [Wilcox, Ashleigh] Polynomial diophantine equations. A systematic approach. With contributions by Ashleigh Wilcox. (English) Zbl 07925432 Cham: Springer (ISBN 978-3-031-62948-8/hbk; 978-3-031-62951-8/pbk; 978-3-031-62949-5/ebook). xxii, 807 p. (2024). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11Dxx 11D04 11D09 11D25 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Hamaguchi, Yushi; Wang, Tianxiao Linear-quadratic stochastic Volterra controls. I: Causal feedback strategies. (English) Zbl 07923205 Stochastic Processes Appl. 176, Article ID 104449, 25 p. (2024). MSC: 60H20 45A05 93E20 93B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jize; Zhou, Yonghui Optimal control of LQ problem with anticipative partial observations. (English) Zbl 1542.93416 Eur. J. Control 79, Article ID 101095, 7 p. (2024). MSC: 93E20 49N10 49N35 93E11 × Cite Format Result Cite Review PDF Full Text: DOI
Reinhart, Andreas A counterexample to the Pellian equation conjecture of Mordell. (English) Zbl 07914795 Acta Arith. 215, No. 1, 85-95 (2024). MSC: 11R11 11R27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yuan; Zhang, Jing; Liu, Baoxing On equations \((-1)^\alpha p^x+ (-1)^\beta (2^k(2p + 1))^y= z^2\) with Sophie Germain prime \(p\). (English) Zbl 1548.11066 Involve 17, No. 3, 503-518 (2024). MSC: 11D61 11A15 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Ying; Wen, Jiaqiang; Xiong, Jie Backward doubly stochastic differential equations and SPDEs with quadratic growth. (English) Zbl 1544.60067 Stochastic Processes Appl. 175, Article ID 104405, 22 p. (2024). MSC: 60H10 60H15 60H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boros, Zoltán; Menzer, Rayene An alternative equation for generalized polynomials of degree two. (English) Zbl 1547.39015 Ann. Math. Sil. 38, No. 2, 214-220 (2024). Reviewer: Eszter Gselmann (Debrecen) MSC: 39B22 × Cite Format Result Cite Review PDF Full Text: DOI
Banerjee, Abhijit; Sarkar, Jhuma On transcendental entire solution of Fermat-type trinomial and binomial equations under restricted hyper-order. (English) Zbl 1546.39015 Ann. Math. Sil. 38, No. 2, 177-194 (2024). MSC: 39B32 30D35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yu Linear-quadratic Pareto cooperative game for mean-field backward stochastic system. (English) Zbl 1546.91031 J. Syst. Sci. Complex. 37, No. 3, 947-964 (2024). MSC: 91A12 91A23 60H30 91G10 × Cite Format Result Cite Review PDF Full Text: DOI
Zannier, Umberto [Amoroso, Francesco] Lecture notes on Diophantine analysis. With an appendix by Francesco Amoroso. 2nd edition. (English) Zbl 07903163 EMS Series of Lectures in Mathematics 36. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-077-8/pbk; 978-3-98547-577-3/ebook). xii, 399 p. (2024). Reviewer: István Gaál (Debrecen) MSC: 11-01 11D04 11D09 11D45 11D59 11G50 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Guangchen; Zhang, Heng Finite-horizon and infinite-horizon linear quadratic optimal control problems: a data-driven Euler scheme. (English) Zbl 1543.49027 J. Franklin Inst. 361, No. 13, Article ID 107054, 11 p. (2024). MSC: 49N10 49M05 49M15 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Wenguang; Lin, Ji Wave-breaking and persistence properties in weighted \(L^p\) spaces for a Camassa-Holm type equation with quadratic and cubic nonlinearities. (English) Zbl 07901697 Monatsh. Math. 205, No. 1, 103-117 (2024). Reviewer: Igor Leite Freire (São Carlos) MSC: 35G25 35B30 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zixuan; Shi, Jingtao Closed-loop solvability of linear quadratic mean-field type Stackelberg stochastic differential games. (English) Zbl 1542.91023 Appl. Math. Optim. 90, No. 1, Paper No. 22, 45 p. (2024). MSC: 91A16 91A15 91A65 93E20 49N10 49N80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Salvio, Alberto A non-perturbative and background-independent formulation of quadratic gravity. (English) Zbl 1547.83041 J. Cosmol. Astropart. Phys. 2024, No. 7, Paper No. 92, 38 p. (2024). MSC: 83C45 83D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rakhmelevich, Igor’ Vladimirovich On Laplace invariants of a two-dimensional hyperbolic equation with mixed derivative and quadratic nonlinearities. (Russian. English summary) Zbl 07896379 Vladikavkaz. Mat. Zh. 26, No. 2, 113-121 (2024). MSC: 35G20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Flamarion, M. V.; Pelinovsky, E. Solitary wave interactions in the cubic Whitham equation. (English) Zbl 1547.76020 Russ. J. Math. Phys. 31, No. 2, 199-208 (2024); erratum ibid. 31, No. 3, 575 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B20 76M45 76M22 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Abdulzahra, A. A.; Hashim, H. R. On the solutions of the Lucas sequence equation \(\pm\frac{1}{V_n(P_2, Q_2)} = \sum_{k=1}^\infty\frac{U_{k-1}(P_1,Q_1)}{x^k}\). (English) Zbl 1543.11019 Malays. J. Math. Sci. 18, No. 2, 357-369 (2024). MSC: 11B39 11D25 11D45 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Yawen; Li, Hongdan; Zhang, Huanshui Decentralized LQ control and stabilization for Itô systems. (English) Zbl 1542.93008 Automatica 167, Article ID 111739, 9 p. (2024). MSC: 93A14 49N10 93E20 93E15 × Cite Format Result Cite Review PDF Full Text: DOI
Ebead, Hanaa R. Self-reference (State-dependence) quadratic integral equation of fractional order. (English) Zbl 07893477 J. Fract. Calc. Appl. 15, No. 1, Paper No. 3, 15 p. (2024). MSC: 34A12 34A30 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Heng; Li, Na Data-driven policy iteration algorithm for continuous-time stochastic linear-quadratic optimal control problems. (English) Zbl 07892474 Asian J. Control 26, No. 1, 481-489 (2024). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tan, Cheng; Zhu, Binlian; Qi, Qingyuan; Chen, Ziran Indefinite LQ optimal control for stochastic Takagi-Sugeno fuzzy system under sensor data scheduling: finite-horizon case. (English) Zbl 07892472 Asian J. Control 26, No. 1, 456-470 (2024). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Krishnamoorthy, S.; Muneeswaran, R. The divisibility of the class number of the imaginary quadratic fields \(\mathbb{Q}(\sqrt{1-2m^k})\). (English) Zbl 07887403 Ramanujan J. 64, No. 3, 991-1002 (2024). MSC: 11R29 11R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dai, Bin; Zeng, Huilan; Zhang, Chen-Song; Zhang, Shuo Lowest-degree robust finite element schemes for inhomogeneous bi-Laplace problems. (English) Zbl 1543.65183 Appl. Numer. Math. 203, 235-254 (2024). MSC: 65N30 65N25 65N12 35J05 35B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jukić Bokun, Mirela; Soldo, Ivan Extensions of \(D(-1)\)-pairs in some imaginary quadratic fields. (English) Zbl 07883457 New York J. Math. 30, 745-755 (2024). MSC: 11D09 11D45 11R11 × Cite Format Result Cite Review PDF Full Text: Link
Gugat, Martin; Qian, Meizhi; Sokolowski, Jan Network design and control: shape and topology optimization for the turnpike property for the wave equation. (English) Zbl 1546.49060 J. Geom. Anal. 34, No. 9, Paper No. 273, 60 p. (2024). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49N10 90C31 46N10 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Oluwadare, O. J.; Abiola, T. O.; Odo, E. A.; Olubosede, O.; Oyewumi, K. J. Molecular study on the DKP equation in \((1 + 3)\) dimensions with isotropic oscillator plus inverse quadratic potential in non-commutative space. (English) Zbl 07880117 Int. J. Theor. Phys. 63, No. 5, Paper No. 123, 10 p. (2024). MSC: 81Qxx 81Vxx 81Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Park, Euisung On rank 3 quadratic equations of projective varieties. (English) Zbl 1548.14054 Trans. Am. Math. Soc. 377, No. 3, 2049-2064 (2024). Reviewer: Alessandra Bernardi (Trento) MSC: 14E25 13C05 14M15 14A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Young-Jin; Ju, Jeong-Hoon; Kim, Hyun-Min Optimal constant for generalized diagonal update method. (English) Zbl 1542.65056 Calcolo 61, No. 2, Paper No. 28, 20 p. (2024). MSC: 65H10 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail Reducing Obizhaeva-Wang-type trade execution problems to LQ stochastic control problems. (English) Zbl 1542.91368 Finance Stoch. 28, No. 3, 813-863 (2024). MSC: 91G15 93E20 49N10 60H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maireche, Abdelmadjid The influence of double deformation phase-space on the thermo-magnetic properties and energy spectra of some diatomic molecules and the spin-averaged mass spectra of the heavy mesons with the ICIQYHP model in 3D-NRNCPS symmetries. (English) Zbl 1542.58002 Int. J. Geom. Methods Mod. Phys. 21, No. 7, Article ID 2450129, 41 p. (2024). MSC: 58B34 81Q35 81Q80 81R60 81Sxx × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Cui; Yu, Zhiyong Exact controllability for mean-field type linear game-based control systems. (English) Zbl 1540.60107 Appl. Math. Optim. 90, No. 1, Paper No. 3, 34 p. (2024). MSC: 60H10 49N10 93B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ulas, Maciej Construction of diagonal quintic threefolds with infinitely many rational points. (English) Zbl 07872165 Math. Comput. 93, No. 349, 2503-2511 (2024). Reviewer: Piotr Pokora (Kraków) MSC: 11D41 13P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hamaguchi, Yushi; Wang, Tianxiao Linear-quadratic stochastic Volterra controls. II: Optimal strategies and Riccati-Volterra equations. (English) Zbl 07871741 ESAIM, Control Optim. Calc. Var. 30, Paper No. 48, 42 p. (2024). MSC: 60H20 45A05 93E20 93B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Malmir, Iman Novel closed-loop controllers for fractional linear quadratic time-varying systems. (English) Zbl 07868844 Numer. Algebra Control Optim. 14, No. 2, 366-403 (2024). Reviewer: Roman Šimon Hilscher (Brno) MSC: 93C05 34A08 49N10 93B52 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Astashova, I. V.; Lashin, D. A.; Filinovskiy, A. V. On problems of extremum and estimates of control function for parabolic equation. (English. Russian original) Zbl 1542.35218 Mosc. Univ. Math. Bull. 79, No. 1, 44-54 (2024); translation from Vestn. Mosk. Univ., Ser. I 79, No. 1, 40-50 (2024). MSC: 35K20 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI
Glushchenko, Anton; Lastochkin, Konstantin Exponentially stable adaptive optimal control of uncertain LTI systems. (English) Zbl 1545.93277 Int. J. Adapt. Control Signal Process. 38, No. 3, 986-1016 (2024). MSC: 93C40 93C41 49N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maddouri, Kamel; Triki, Houria; Wang, Nan; Zhou, Qin Nonlinear tunneling of chirped similaritons in non-centrosymmetric waveguides with quadratic-cubic nonlinearity. (English) Zbl 07866180 Phys. Lett., A 512, Article ID 129584, 9 p. (2024). MSC: 81V80 81U26 × Cite Format Result Cite Review PDF Full Text: DOI
Vougalter, Vitali Solvability of some quadratic integral equations. (English) Zbl 1542.45005 Pure Appl. Funct. Anal. 9, No. 2, 601-610 (2024). Reviewer: Bhuban Deuri (Doimukh) MSC: 45G10 47H09 47H10 47N20 × Cite Format Result Cite Review PDF Full Text: Link
Ahadi, Azam; Saadati, Reza; Allahviranloo, Tofigh; O’Regan, Donal An application of decision theory on the approximation of a generalized Apollonius-type quadratic functional equation. (English) Zbl 1540.39033 J. Inequal. Appl. 2024, Paper No. 24, 12 p. (2024). MSC: 39B82 62C05 62C12 × Cite Format Result Cite Review PDF Full Text: DOI
Nabiev, A. A. On an inverse scattering problem for the quadratic pencil of the Sturm-Liouville operator with a piece-wise constant coefficient. (English) Zbl 1549.34253 Baku Math. J. 3, No. 1, 84-109 (2024). MSC: 34L25 34L40 34B24 × Cite Format Result Cite Review PDF Full Text: DOI
Bao, Liying; Qi, Bo; Dong, Daoyi Stabilizing preparation of quantum Gaussian states via continuous measurement. (English) Zbl 1548.81028 Automatica 164, Article ID 111622, 7 p. (2024). MSC: 81P15 81Q93 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ddamulira, Mahadi; Luca, Florian On the \(x\)-coordinates of Pell equations that are products of two Pell numbers. (English) Zbl 1547.11042 Math. Slovaca 74, No. 1, 41-56 (2024). Reviewer: Ingrid Vukusic (Waterloo) MSC: 11D09 11B39 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jianzhou; Tang, Fuying; Quan, Hongzheng High-performance LQR control for continuous time systems with redundant control inputs. (English) Zbl 1537.93312 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 55, No. 5, 909-925 (2024). MSC: 93C05 49N10 93B25 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Maozhong; Tang, Maoning; Meng, Qingxin Forward-backward stochastic evolution equations in infinite dimensions and application to LQ optimal control problems. (English) Zbl 1537.93337 Syst. Control Lett. 185, Article ID 105748, 11 p. (2024). MSC: 93C15 60H10 93C35 49N10 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Jingrui; Yong, Jiongmin Turnpike properties for stochastic linear-quadratic optimal control problems with periodic coefficients. (English) Zbl 1539.49026 J. Differ. Equations 400, 189-229 (2024). MSC: 49N10 49N20 49J55 93D23 93E20 × Cite Format Result Cite Review PDF Full Text: DOI
He, Wei; Su, Peng Properties of some elliptic Hill’s potentials. (English) Zbl 1543.34013 Anal. Math. Phys. 14, No. 3, Paper No. 40, 36 p. (2024). MSC: 34A30 34B30 34B09 33E05 34L10 34D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Muller, Samuel; Wang, Suojin; Welsh, A. H. The effect of the working correlation on fitting models to longitudinal data. (English) Zbl 07846698 Scand. J. Stat. 51, No. 2, 891-912 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Yexuan; Zhao, Zhonglong New lump solutions and several interaction solutions and their dynamics of a generalized (3+1)-dimensional nonlinear differential equation. (English) Zbl 1537.35306 Commun. Theor. Phys. 76, No. 2, Article ID 025001, 13 p. (2024). MSC: 35Q51 35C08 37K40 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Na; Wang, Shujun Linear-quadratic stochastic Stackelberg games of \(N\) players for time-delay systems and related FBSDEs. (English) Zbl 1536.91043 Appl. Math. Optim. 89, No. 3, Paper No. 67, 47 p. (2024). MSC: 91A15 91A65 91A06 49N10 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen Xuan Tho An extension of Aigner’s theorem. (English) Zbl 07838047 Monatsh. Math. 204, No. 1, 191-195 (2024). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D41 11D25 11D99 11R11 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Maohua; Soydan, Gökhan Some exponential Diophantine equations. III: A new look at the generalized Lebesgue-Nagell equation. (English) Zbl 1544.11035 Bol. Soc. Mat. Mex., III. Ser. 30, No. 2, Paper No. 35, 9 p. (2024). Reviewer: Roberto Amato (Messina) MSC: 11D61 11E16 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Haisen; Zhang, Xianfeng Lagrangian dual method for solving stochastic linear quadratic optimal control problems with terminal state constraints. (English) Zbl 1536.93994 ESAIM, Control Optim. Calc. Var. 30, Paper No. 22, 26 p. (2024). MSC: 93E20 49N10 49N15 49M37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Paula; Meng, Tingwei; Zou, Zongren; Darbon, Jérôme; Karniadakis, George Em Leveraging multitime Hamilton-Jacobi PDEs for certain scientific machine learning problems. (English) Zbl 1537.35157 SIAM J. Sci. Comput. 46, No. 2, C216-C248 (2024). MSC: 35F21 49N05 49N10 68T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alvanos, Paraskevas; Poulakis, Dimitrios Bounds for the smallest integral solution of Pell equation over a number field. (English) Zbl 1547.11041 Funct. Approximatio, Comment. Math. 70, No. 1, 41-54 (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D09 12E12 11R80 × Cite Format Result Cite Review PDF Full Text: DOI
Pak, Ji-Gwon; Kim, Mun-Chol; Kim, Kon-Gun Wellposedness of anticipated BSDEs with quadratic growth and unbounded terminal value. (English) Zbl 1534.60077 Braz. J. Probab. Stat. 38, No. 1, 108-127 (2024). MSC: 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Gomoyunov, Mikhail I. Value functional and optimal feedback control in linear-quadratic optimal control problem for fractional-order system. (English) Zbl 1537.49033 Math. Control Relat. Fields 14, No. 1, 215-254 (2024). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49N10 34A08 49N35 35F21 47A53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Sixian; Song, Qingshuo Stochastic maximum principle for a time-changed mean field game. (English) Zbl 1536.91047 Math. Control Relat. Fields 14, No. 1, 191-198 (2024). MSC: 91A16 49N80 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Lü, Qi; Zhang, Xu Optimal feedback for stochastic linear quadratic control and backward stochastic Riccati equations in infinite dimensions. (English) Zbl 1542.93003 Memoirs of the American Mathematical Society 1467. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6875-0/pbk; 978-1-4704-7755-4/ebook). v, 107 p. (2024). Reviewer: Vivek S. Borkar (Mumbai) MSC: 93-02 93E20 49N35 49N10 93E24 93C05 93C20 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ye, Xiao; Zheng, Xiangcheng; Liu, Jun; Liu, Yue Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation. (English) Zbl 1541.65130 Adv. Comput. Math. 50, No. 2, Paper No. 21, 30 p. (2024). MSC: 65M70 65H10 65N35 65D07 65B05 65M12 65M15 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Liangquan; Zhang, Wei Infinite horizon Stackelberg differential games with random coefficients under control input constraint. (English) Zbl 1533.93855 Int. J. Control 97, No. 2, 259-271 (2024). MSC: 93E20 49N70 49N10 91A65 91A15 60H30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhengyi; Wang, Yanli; Liu, Hongsheng; Wang, Zidong; Dong, Bin Solving the Boltzmann equation with a neural sparse representation. (English) Zbl 1535.35132 SIAM J. Sci. Comput. 46, No. 2, C186-C215 (2024). MSC: 35Q20 76P05 68T07 82C40 15A18 65F55 35R02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gómez, Carlos A.; Rihane, Salah Eddine; Togbé, Alain On the \(X\)-coordinates of Pell equations \(X^2 - dY^2 = \pm 1\) as difference of two Fibonacci numbers. (English) Zbl 1540.11012 Int. J. Number Theory 20, No. 2, 487-506 (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D09 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Wei; Wang, Weijia; Zhang, Hao A structure theorem for the restricted sum of four squares. (English) Zbl 1543.11042 Finite Fields Appl. 95, Article ID 102398, 17 p. (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E25 × Cite Format Result Cite Review PDF Full Text: DOI
Medic, Luka; Ramšak, Anton; Prosen, Tomaž Extending third quantization with commuting observables: a dissipative spin-Boson model. (English) Zbl 1542.81491 J. Phys. A, Math. Theor. 57, No. 8, Article ID 085301, 13 p. (2024). MSC: 81S08 70H05 81V73 81S22 81R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Xinwei; Qiu, Zhenghong; Wang, Shujun Linear quadratic mean-field game with volatility uncertainty. (English) Zbl 1534.91024 J. Math. Anal. Appl. 534, No. 2, Article ID 128081, 29 p. (2024). MSC: 91A16 49N10 49N80 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Jingrui; Yong, Jiongmin Turnpike properties for mean-field linear-quadratic optimal control problems. (English) Zbl 1534.49023 SIAM J. Control Optim. 62, No. 1, 752-775 (2024). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49N10 49N80 93E15 93E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Ruinan; Zhang, Beibei A transportation inequality for reflected SPDEs on infinite spatial domain. (English) Zbl 1537.60077 Stat. Probab. Lett. 206, Article ID 109959, 10 p. (2024). Reviewer: Maria Gordina (Storrs) MSC: 60H15 60E15 × Cite Format Result Cite Review PDF Full Text: DOI
Acquistapace, Paolo; Bucci, Francesca Riccati-based solution to the optimal control of linear evolution equations with finite memory. (English) Zbl 1532.49033 Evol. Equ. Control Theory 13, No. 1, 26-66 (2024). MSC: 49N10 35R09 93C23 49N35 45D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Guangshuo; Du, Fengjiao; Fan, Shengjun Invariant representation for generators of general time interval quadratic BSDEs under stochastic growth conditions. (English) Zbl 1532.60135 Stat. Probab. Lett. 205, Article ID 109961, 8 p. (2024). MSC: 60H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Fan; Xiong, Jie; Zhang, Xin Zero-sum stochastic linear-quadratic Stackelberg differential games with jumps. (English) Zbl 1531.91026 Appl. Math. Optim. 89, No. 1, Paper No. 29, 41 p. (2024). MSC: 91A15 91A65 91A10 49N10 93E20 × Cite Format Result Cite Review PDF Full Text: DOI
Lü, Qi; Ma, Bowen Time-inconsistent stochastic linear-quadratic control problem with indefinite control weight costs. (English) Zbl 1531.93436 Sci. China, Math. 67, No. 1, 211-236 (2024). MSC: 93E20 49N10 93B52 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Imin; Efemwonkieke, Aisosa; Sun, David Fermat’s Last Theorem over \(\mathbb{Q}(\sqrt{5})\) and \(\mathbb{Q}(\sqrt{17})\). (English) Zbl 1539.11058 Can. J. Math. 76, No. 1, 18-38 (2024). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D41 11F80 11F03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Walsh, P. G. Squares in recurrences using elliptic curves. (English) Zbl 1543.11052 Int. J. Number Theory 20, No. 1, 221-228 (2024). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 11D09 × Cite Format Result Cite Review PDF Full Text: DOI