Qualitative theory of functional differential equations
Main publications:
T. K. Yuldashev, Zh. A. Artykova, “Integralnoe uravnenie Volterra pervogo roda s nelineinoi pravoi chastyu”, Skladni sistemi i protsesi, 8:1 (2005), 3–5
T. K. Yuldashev, Zh. A. Artykova, “Evolyutsionnoe integralnoe uravnenie Voltera s integralnymi otkloneniyami”, Vestnik Ulyanovskogo gos. tekhn. univ-ta, 2006, no. 3, 18–20
T. K. Yuldashev, J. A. Artykova, “Volterra functional integral equation of the first kind with nonlinear right-hand side and variable limits of integration”, Ukrainian Mathematical Journal, 58:9 (2006), 1458–1461
T. K. Yuldashev, Zh. A. Artykova, “Nachalnaya zadacha dlya nelineinogo integro-differentsialnogo uravneniya s giperbolicheskim operatorom vysshego poryadka i s otrazheniem argumenta”, Dagestanskie Elektronnye Matematicheskie Izvestiya, 2020, № 13, 31–56
T. K. Yuldashev, Zh. A. Artykova, “Obschee funktsionalno-integralnoe uravnenie Volterra”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 2007, № 2, 37–40
T. K. Yuldashev, Zh. A. Artykova, “Solvability in the classical sense Fredholm integro-differential equations with nonlinear nonlocal conditions”, Understanding Function Spaces, https://doi.org/10.52305/XBUN6843, Compupational Mathematics and Analysis, eds. Bilal Bilalov, Nova Science Publishers, New York, 2025, 95–118 www.novapublishers.com
2.
Zh. A. Artykova, “Initial value problem for a nonlinear Fredholm integro-differential equation of third order with a degenerate kernel”, Bulletin of Osh State University. Mathematics, Physics, Technology, 5:2 (2024), 208–218 , https://doi.org/10.52754/16948645_2024_2(5)_25
3.
T. M. Papieva, Zh. A. Artykova, Ch. A. Mustapakulova, “Suschestvovanie kvazidvoinykh linii pary trekhmernykh raspredelenii v chastichnom otobrazhenii prostranstva $E_6$”, Vestnik OshGU. Matematika, Fizika, Tekhnika, 2024, no. 2 (5), 171–175 , https://doi.org/10.52754/16948645_2024_2(5)_20 (na Kyrgyzskom yaz.)
4.
T. K. Yuldashev, Zh. A. Artykova, “Ob odnoi odnorodnoi nelokalnoi zadache dlya integro-differentsialnogo uravneniya Fredgolma vtorogo poryadka”, Vestnik OshGU. Matematika, Fizika, Tekhnika, 2023, no. 1, 238–248 , https://doi.org.10.52754/16948645_2023_1_238
5.
T. K. Yuldashev, Zh. A. Artykova, Sh. U. Alladustov, “Nonlocal problem for a second order Fredholm integro-differential equation with degenerate kernel and real parameters”, Proceedings of the Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, 49:2 (2023), 228–242 , https://doi.org/10.30546/2409-4994.2023.49.2.228
6.
Zh. A. Artykova, R. A. Bandaliyev, T. K. Yuldashev, “Nonlocal direct and inverse problems for a second order nonhomogeneous Fredholm integro-differential equation with two redefinition data”, Lobachevskii Journal of Mathematics, 44:10 (2023), 4215–4230 , https://doi.org/10.1134/S1995080223100050
T. K. Yuldashev (Iuldashev), Zh. A. Artykova, “Initial problem for a nonlinear integro-differential equation with a higher-order hyperbolic operator and with reflection of the argument”, Daghestan Electronic Mathematical Reports, 2020, no. 13, 31–56
G. Matieva, Zh. A. Artykova, “Svoistva otobrazheniya trekhmernoi poverkhnosti v trekhmernuyu ploskost v evklidovom prostranstve”, Vestnik OshGU, 2012, no. 3, 110–114 , ISBN 9967-03-030-5
12.
G. Matieva, Zh. A. Artykova, “Neobkhodimoe i dostatochnoe uslovie geodezichnosti seti na grafike otobrazheniya trekhmernoi poverkhnosti v trekhmernuyu ploskost”, Funktsionalnyi analiz i ego prilozheniya, Tezisy dokladov mezhdunarodnoi nauchnoi konferentsii (Astana, 2012 g.), ENU imeni L. N. Gumileva, Astana, 2012, 53
G. Matieva, Zh. A. Artykova, “Svoistva otobrazheniya mnogomernoi poverkhnosti v giperploskost”, Nauchnaya konferentsiya, posvyaschennaya 80-letiyu akademika M. I. Imanalieva, Vestnik KNU im. Zh. Balasagyna, 2011, 88–90
14.
G. Matieva, Zh. A. Artykova, “Ob otobrazhenii trekhmernoi poverkhnosti v trekhmernoe prostranstvo”, Issledovaniya po integro-differentsialnym uravneniyam, 43, eds. M. I. Imanaliev, Ilim, Bishkek, 2010, 194–198
15.
T. K. Yuldashev, Zh. A. Artykova, “General functional-integral Volterra equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(15) (2007), 37–40
16.
T. K. Yuldashev, J. A. Artykova, “Volterra functional integral equation of the first kind with nonlinear right-hand side and variable limits of integration”, Ukrainian Mathematical Journal, 58:9 (2006), 1458–1461
T. K. Yuldashev, Zh. A. Artykova, “Evolyutsionnoe integralnoe uravnenie Voltera s integralnymi otkloneniyami”, Vestnik Ulyanovskogo Gos. Tekhnicheskogo Universiteta, 2006, no. 3, 18–20
18.
T. K. Yuldashev, Zh. A. Artykova, “Integralnoe uravnenie Volterra pervogo roda s nelineinoi pravoi chastyu”, Skladni sistemi i protsesi, 8:1 (2005), 3–5
19.
T. K. Yuldashev, Zh. A. Artykova, “Periodicheskoe reshenie odnogo nelineinogo integralnogo uravneniya Imanalieva”, Issledovaniya po integro-differentsialnym uravneniyam, 32, eds. M. I. Imanaliev, Ilim, Bishkek, 2003, 128–131
20.
T. K. Yuldashev, Zh. A. Artykova, “O razreshimosti sistemy uravnenii «reaktsiya-diffuziya» v «minimalnoi» modeli dinamiki planktona”, Izvestiya vuzov, 2003, no. (3-4), 65–66 (Bishkek: Tekhnologiya, 2003)
21.
T. K. Yuldashev, Zh. A. Artykova, “Smeshannaya zadacha dlya nelineinogo uravneniya vysokogo poryadka vyrozhdayuschegosya na granitse oblasti s malym parametrom pri smeshannoi proizvodnoi”, Vestnik Oshskogo gos. univ-ta. Seriya fiziko-matematicheskikh nauk, 2003, no. 6, 193–196
Proceedings
22.
T. K. Yuldashev, T. A. Abduvahobov, Zh. A. Artykova, “$(\omega, c)-$periodic solution for a nonlinear impulsive system of Fredholm functional-differential-integral equations”, Mathematical physics and related problems of modern analysis, Abstract book (Bukhara, October 10–11, 2025), 1, Bukhara State University, Bukhara, 2025, 226–228
23.
T. K. Yuldashev, Zh. A. Artykova, Zh. Zh. Shermamatov, “Optimal control problem for a pseudoparabolic equation”, Mathematical analysis and its applications to the modern mathematical physics, Abstract book (Samarkand, October 18, 2025), Samarkand State University, Samarkand, 2025, 204–207
24.
T. K. Yuldashev, A. A. Matchanova, Zh. A. Artykova, “Mixed problem for a pseudoparabolic fractional differential equation with final condition”, Current Problems of Algebra and Analysis, Collection of Materials of International Scientific-Practical conference (Termez, October 20–21, 2025), eds. I. Allakov, M. Mirsaburov, Termez State University, Termez, 2025, 185–187
25.
Zh. A. Artykova, “Initial value problem for a nonlinear Fredholm integro-differential equation of third order with a degenerate kernel”, Aktualnye Problemy Matematiki, Fiziki i Informatsionnykh Tekhnologii v Obrazovanii, Mezhdunarodnaya nauchno-prakticheskaya konferentsiya (Osh, 26–27 sentyabrya 2024 g.), eds. A. Sopuev, OshGU, Osh, 2024, p. 69
26.
T. K. Yuldashev, Zh. A. Artykova, “Nonlocal boundary value problems for Fredholm type integro-differential equations with parameters”, Abstracts of the VII World Congress of Turkic World Mathematicians (Turkestan, 20–23 September, 2023), Turkic World Mathematical Society, Turkestan, 2023, 122
27.
T. K. Yuldashev, Zh. A. Artykova, “Ob odnom stokhasticheskom differentsialnom uravnenii v chastnykh proizvodnykh vysokogo poryadka”, Sovremennye problemy stokhasticheskogo analiza, Materialy nauchnoi konferentsii (Tashkent, 21–22 sentyabrya 2020 g.), Nats. Univ-t Uzbekistana, Tashkent, 2020, 262–266
28.
Zh. A. Artykova, “Neobkhodimoe i dostatochnoe uslovie geodezichnosti seti na grafike otobrazheniya trekhmernoi poverkhnosti v trekhmernuyu ploskost”, Perspektivy razvitiya fundamentalnykh nauk, Sbornik nauchnykh trudov X mezhdunarodnoi konferentsiya studentov i molodykh uchenykh (Tomsk, 2013 g.), TomskGU, Tomsk, 2013, 490–492
29.
G. Matieva, Zh. A. Artykova, “Ob odnoi seti na grafike otobrazheniya dvumernoi poverkhnosti v dvumernuyu ploskost v evklidovom prostranstve”, Aktualnye problemy teorii upravleniya, topologii i operatornykh uravnenii, Sbornik dokladov nauchnoi konferentsii (Bishkek, 2013 g.), KRSU imeni B. Eltsina, Bishkek, 2013, 24–25
30.
T. K. Yuldashev, Zh. A. Artykova, “Ob odnom integro-differentsialnom uravnenii giperbolicheskogo tip chetvertogo poryadka”, Reshetnevskie chteniya, Materialy konferentsii (Krasnoyarsk, 2009), 13, SibGAU imeni M. F. Reshetneva, Krasnoyarsk, 2009, 477–478
31.
T. K. Yuldashev, Zh. A. Artykova, “Integralnoe uravnenie Volterra pervogo roda s nelineinoi pravoi chastyu i slozhnym otkloneniem”, Geometriya v Odesse – 2005. Differentsialnaya geometriya i ee prilozheniya, Tezisy seminara (Odessa, 23–29 maya 2005 g.), Odesskii natsionalnyi universitet, Odessa, 2005, 107–108
32.
T. K. Yuldashev, Zh. A. Artykova, “Sluchainye integralnye uravneniya Volterra pervogo roda s nelineinoi pravoi chastyu”, Predelnye teoremy teorii veroyatnostei i ikh prilozheniya, Materialy 5-i konferentsii (Fergana, 10–12 maya 2005 g.), IM imeni V. I. Romanovskogo AN Uzbekistana, Tashkent, 2005, 204–206
33.
T. K. Yuldashev, Zh. A. Artykova, “Nelineinoe evolyutsionnoe integralnoe uravnenie Volterra s nelineinymi zapazdyvaniyami”, Aktualnye problemy differentsialnykh uravnenii i matematicheskoi fiziki, Tezisy dokladov mezhdunarodnoi konferentsii (Almaty, 10–11 noyabrya 2005 g.), KNU im. Farabi, Almaty, 2005, 221