Kasinathan, Ramkumar; Kasinathan, Ravikumar; Chalishajar, Dimplekumar; Sandrasekaran, Varshini; Baleanu, Dumitru Trajectory controllability of impulsive neutral stochastic functional integrodifferential equations driven by fBm with noncompact semigroup via Mönch fixed point. (English) Zbl 07792413 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 72, 27 p. (2024). MSC: 35A02 35B35 35R12 47D06 60G15 93C25 PDFBibTeX XMLCite \textit{R. Kasinathan} et al., Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 72, 27 p. (2024; Zbl 07792413) Full Text: DOI
Anukiruthika, K.; Durga, N.; Muthukumar, P. Optimal control of non-instantaneous impulsive second-order stochastic McKean-Vlasov evolution system with Clarke subdifferential. (English) Zbl 07773890 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2061-2087 (2023). MSC: 34G25 35R12 49J20 60G22 60H15 PDFBibTeX XMLCite \textit{K. Anukiruthika} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2061--2087 (2023; Zbl 07773890) Full Text: DOI
Ahmed, N. U.; Wang, Shian Measure-valued solutions for nonlinear evolution equations on Banach spaces and their optimal control. (English) Zbl 07762377 Cham: Springer (ISBN 978-3-031-37259-9/hbk; 978-3-031-37262-9/pbk; 978-3-031-37260-5/ebook). xiii, 227 p. (2023). MSC: 35-01 35R06 35R10 35R12 35R60 47J35 49-01 93-01 PDFBibTeX XMLCite \textit{N. U. Ahmed} and \textit{S. Wang}, Measure-valued solutions for nonlinear evolution equations on Banach spaces and their optimal control. Cham: Springer (2023; Zbl 07762377) Full Text: DOI
Liu, Hsiang; Guu, Sy-Ming; Pang, Chin-Tzong Existence and approximate controllability of a class of impulsive neutral differential inclusions with infinite delay. (English) Zbl 1514.34129 Linear Nonlinear Anal. 8, No. 1, 1-29 (2022). MSC: 34K30 34K09 34K35 47N20 93B05 34K45 34K40 PDFBibTeX XMLCite \textit{H. Liu} et al., Linear Nonlinear Anal. 8, No. 1, 1--29 (2022; Zbl 1514.34129) Full Text: Link
Yan, Qishu; Yu, Huaiqiang Exponential stabilization on infinite dimensional system with impulse controls. (English) Zbl 1480.35052 J. Differ. Equations 309, 231-264 (2022). MSC: 35B40 35K51 35K90 35R12 47D06 93B05 93C20 PDFBibTeX XMLCite \textit{Q. Yan} and \textit{H. Yu}, J. Differ. Equations 309, 231--264 (2022; Zbl 1480.35052) Full Text: DOI arXiv
Arora, S.; Mohan, Manil T.; Dabas, J. Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces. (English) Zbl 1487.34144 J. Differ. Equations 307, 83-113 (2022). Reviewer: Vyacheslav I. Maksimov (Yekaterinburg) MSC: 34K35 93B05 34K45 34K30 34K09 47N20 PDFBibTeX XMLCite \textit{S. Arora} et al., J. Differ. Equations 307, 83--113 (2022; Zbl 1487.34144) Full Text: DOI arXiv
Yang, He; Zhao, Yanxia Existence and optimal controls of non-autonomous impulsive integro-differential evolution equation with nonlocal conditions. (English) Zbl 1485.49014 Chaos Solitons Fractals 148, Article ID 111027, 9 p. (2021). MSC: 49J27 93C23 93C27 34K30 34K45 34K35 45J05 34A12 PDFBibTeX XMLCite \textit{H. Yang} and \textit{Y. Zhao}, Chaos Solitons Fractals 148, Article ID 111027, 9 p. (2021; Zbl 1485.49014) Full Text: DOI
Yan, Zuomao Time optimal control of a Clarke subdifferential type stochastic evolution inclusion in Hilbert spaces. (English) Zbl 1480.49010 Appl. Math. Optim. 84, No. 3, 3083-3110 (2021). Reviewer: Vasile Lupulescu (Târgu Jiu) MSC: 49J27 34K50 60H15 93E20 PDFBibTeX XMLCite \textit{Z. Yan}, Appl. Math. Optim. 84, No. 3, 3083--3110 (2021; Zbl 1480.49010) Full Text: DOI
Chalishajar, D. N.; Malar, K.; Ilavarasi, R. Existence and controllability results of impulsive neutral fractional integro-differential equation with sectorial operator and infinite delay. (English) Zbl 1469.34102 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 28, No. 2, 77-106 (2021). MSC: 34K35 34K37 34K30 34K45 47D06 93B05 47N20 PDFBibTeX XMLCite \textit{D. N. Chalishajar} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 28, No. 2, 77--106 (2021; Zbl 1469.34102) Full Text: Link
Kumar, Ashish; Pandey, Dwijendra N. Controllability results for non densely defined impulsive fractional differential equations in abstract space. (English) Zbl 1466.34069 Differ. Equ. Dyn. Syst. 29, No. 1, 227-237 (2021). MSC: 34K37 34K30 34K35 34K45 93B05 47D06 47N20 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{D. N. Pandey}, Differ. Equ. Dyn. Syst. 29, No. 1, 227--237 (2021; Zbl 1466.34069) Full Text: DOI
Jiang, Yi-rong; Zhang, Qiong-fen; Song, Qi-qing Topological structure of solution sets for control problems governed by semilinear fractional impulsive evolution equations with nonlocal conditions. (English) Zbl 1472.93025 IMA J. Math. Control Inf. 37, No. 4, 1089-1113 (2020). MSC: 93B24 93C27 93B05 93B03 26A33 47J35 PDFBibTeX XMLCite \textit{Y.-r. Jiang} et al., IMA J. Math. Control Inf. 37, No. 4, 1089--1113 (2020; Zbl 1472.93025) Full Text: DOI
Leiva, Hugo; Cabada, Dalia; Gallo, Rodolfo Roughness of the controllability for time varying systems under the influence of impulses, delay, and nonlocal conditions. (English) Zbl 1471.34146 Nonauton. Dyn. Syst. 7, 126-139 (2020). Reviewer: Vyacheslav I. Maksimov (Yekaterinburg) MSC: 34K35 93B05 47N20 34K45 34K27 PDFBibTeX XMLCite \textit{H. Leiva} et al., Nonauton. Dyn. Syst. 7, 126--139 (2020; Zbl 1471.34146) Full Text: DOI
Singh, Vikram; Chaudhary, Renu; Pandey, Dwijendra N. Approximate controllability of second-order non-autonomous stochastic impulsive differential systems. (English) Zbl 1466.34058 Stochastic Anal. Appl. 39, No. 2, 339-356 (2020). MSC: 34G20 34F05 34A37 37C60 34H05 93B05 47N20 PDFBibTeX XMLCite \textit{V. Singh} et al., Stochastic Anal. Appl. 39, No. 2, 339--356 (2020; Zbl 1466.34058) Full Text: DOI
Ahmed, Nasir Uddin Vector measures applied to optimal control for a class of evolution equations on Banach spaces. (English) Zbl 1465.49009 Commun. Korean Math. Soc. 35, No. 4, 1329-1352 (2020). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 49J27 49N25 46B25 34G20 34H05 49J55 93C25 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Commun. Korean Math. Soc. 35, No. 4, 1329--1352 (2020; Zbl 1465.49009) Full Text: DOI
Samoilenko, I. V.; Nikitin, A. V.; Dovhai, B. V. Asymptotic dissipativity for merged stochastic evolutionary systems with Markov switchings and impulse perturbations under conditions of Lévy approximation. (English. Russian original) Zbl 1454.93272 Cybern. Syst. Anal. 56, No. 3, 392-400 (2020); translation from Kibern. Sist. Anal. 2020, No. 3, 60-69 (2020). MSC: 93E03 93C73 93C27 93C15 60H10 PDFBibTeX XMLCite \textit{I. V. Samoilenko} et al., Cybern. Syst. Anal. 56, No. 3, 392--400 (2020; Zbl 1454.93272); translation from Kibern. Sist. Anal. 2020, No. 3, 60--69 (2020) Full Text: DOI
Raghavan, Divya; Nagarajan, Sukavanam Properties of relaxed trajectories of non-linear fractional impulsive control systems. arXiv:2004.11188 Preprint, arXiv:2004.11188 [math.OC] (2020). MSC: 37L05 49J45 26A33 49N25 BibTeX Cite \textit{D. Raghavan} and \textit{S. Nagarajan}, ``Properties of relaxed trajectories of non-linear fractional impulsive control systems'', Preprint, arXiv:2004.11188 [math.OC] (2020) Full Text: arXiv OA License
Kumar, Kamalendra; Kumar, Rakesh Boundary controllability of fractional order nonlocal semi-linear neutral evolution systems with impulsive condition. (English) Zbl 1497.93017 Discontin. Nonlinearity Complex. 8, No. 4, 419-428 (2019). Reviewer: Yong-Kui Chang (Xi’an) MSC: 93B05 93C27 93C15 26A33 37L05 PDFBibTeX XMLCite \textit{K. Kumar} and \textit{R. Kumar}, Discontin. Nonlinearity Complex. 8, No. 4, 419--428 (2019; Zbl 1497.93017) Full Text: DOI
Yan, Zuomao; Lu, Fangxia Exponential stability for nonautonomous impulsive neutral partial stochastic evolution equations with delay. (English) Zbl 1421.93122 Int. J. Control 92, No. 9, 2037-2063 (2019). MSC: 93D20 93C15 93C20 34A37 60H15 35R60 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{F. Lu}, Int. J. Control 92, No. 9, 2037--2063 (2019; Zbl 1421.93122) Full Text: DOI
Palani, P.; Gunasekar, T.; Angayarkanni, M.; Kesavan, D. A study of second order impulsive neutral differential evolution control systems with an infinite delay. (English) Zbl 1422.34218 Ital. J. Pure Appl. Math. 41, 557-570 (2019). MSC: 34K35 34K30 34K40 34K45 47N20 PDFBibTeX XMLCite \textit{P. Palani} et al., Ital. J. Pure Appl. Math. 41, 557--570 (2019; Zbl 1422.34218) Full Text: Link
Aissani, Khalida; Benchohra, Mouffak; Nieto, Juan J. Controllability for impulsive fractional evolution inclusions with state-dependent delay. (English) Zbl 1449.34269 Adv. Theory Nonlinear Anal. Appl. 3, No. 1, 18-34 (2019). MSC: 34K35 34K37 93B05 34K45 34K09 34K43 47N20 PDFBibTeX XMLCite \textit{K. Aissani} et al., Adv. Theory Nonlinear Anal. Appl. 3, No. 1, 18--34 (2019; Zbl 1449.34269) Full Text: DOI
Vijayakumar, V. Approximate controllability for a class of second-order stochastic evolution inclusions of Clarke’s subdifferential type. (English) Zbl 1383.93016 Result. Math. 73, No. 1, Paper No. 42, 23 p. (2018). MSC: 93B05 93C15 34K30 35R10 35R12 35R70 60H20 47N70 PDFBibTeX XMLCite \textit{V. Vijayakumar}, Result. Math. 73, No. 1, Paper No. 42, 23 p. (2018; Zbl 1383.93016) Full Text: DOI
Huang, Hao; Wu, Zheng; Hu, Ling; Wei, Zhangzhi; Wang, Lianglong Existence and controllability of second-order neutral impulsive stochastic evolution integro-differential equations with state-dependent delay. (English) Zbl 1387.34107 J. Fixed Point Theory Appl. 20, No. 1, Paper No. 9, 27 p. (2018). MSC: 34K30 34K50 34K45 93B05 34K35 47N20 PDFBibTeX XMLCite \textit{H. Huang} et al., J. Fixed Point Theory Appl. 20, No. 1, Paper No. 9, 27 p. (2018; Zbl 1387.34107) Full Text: DOI
Manickam, K. Existence of \(\alpha\)-mild solutions for impulsive fractional evolution equations and optimal control problems. (English) Zbl 1358.34013 Vietnam J. Math. 44, No. 4, 761-776 (2016). MSC: 34A08 34A37 34G20 34A12 49J15 PDFBibTeX XMLCite \textit{K. Manickam}, Vietnam J. Math. 44, No. 4, 761--776 (2016; Zbl 1358.34013) Full Text: DOI
Mahmudov, N. I.; Vijayakumar, V.; Murugesu, R. Approximate controllability of second-order evolution differential inclusions in Hilbert spaces. (English) Zbl 1362.34097 Mediterr. J. Math. 13, No. 5, 3433-3454 (2016). Reviewer: Ba-Khiet Le (Santiago de Chile) MSC: 34G25 34H05 47H10 93B05 34B10 34A37 PDFBibTeX XMLCite \textit{N. I. Mahmudov} et al., Mediterr. J. Math. 13, No. 5, 3433--3454 (2016; Zbl 1362.34097) Full Text: DOI arXiv
Belgacem, Fethi Bin Muhammad (ed.); Sivasundaram, Seenith (ed.) Preface: New developments in computational techniques and transform theory applications to nonlinear fractional and stochastic differential equations and systems. (English) Zbl 1332.00043 Nonlinear Stud. 22, No. 4, 561-563 (2015). MSC: 00B15 PDFBibTeX XMLCite \textit{F. B. M. Belgacem} (ed.) and \textit{S. Sivasundaram} (ed.), Nonlinear Stud. 22, No. 4, 561--563 (2015; Zbl 1332.00043) Full Text: Link
Chalishajar, Dimplekumar N.; Malar, Kandasamy; Karthikeyan, Kulandhivel Approximate controllability of abstract impulsive fractional neutral evolution equations with infinite delay in Banach spaces. (English) Zbl 1288.34072 Electron. J. Differ. Equ. 2013, Paper No. 275, 21 p. (2013). MSC: 34K35 34K40 34K45 34K37 47N20 93B05 34K30 47D09 PDFBibTeX XMLCite \textit{D. N. Chalishajar} et al., Electron. J. Differ. Equ. 2013, Paper No. 275, 21 p. (2013; Zbl 1288.34072) Full Text: EMIS
Benedetti, Irene; Obukhovskii, Valeri; Zecca, Pietro Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator. (English) Zbl 1264.93022 Discuss. Math., Differ. Incl. Control Optim. 31, No. 1, 39-69 (2011). MSC: 93B05 34G25 34K09 34K45 47H04 47H08 47H10 47H11 PDFBibTeX XMLCite \textit{I. Benedetti} et al., Discuss. Math., Differ. Incl. Control Optim. 31, No. 1, 39--69 (2011; Zbl 1264.93022) Full Text: DOI Link
Wang, Jinrong; Zhou, Yong; Wei, Wei Impulsive problems for fractional evolution equations and optimal controls in infinite dimensional spaces. (English) Zbl 1237.26008 Topol. Methods Nonlinear Anal. 38, No. 1, 17-43 (2011). MSC: 26A33 34A12 34A37 47J35 93C10 93C25 PDFBibTeX XMLCite \textit{J. Wang} et al., Topol. Methods Nonlinear Anal. 38, No. 1, 17--43 (2011; Zbl 1237.26008)
Ahn, Young Chel; Park, Dong Gun Controllability for impulsive nonlinear second order integro-differential equation with nonlocal condition. (English) Zbl 1167.93006 JP J. Fixed Point Theory Appl. 3, No. 3, 187-197 (2008). MSC: 93B05 34G20 45L05 45J05 47D09 47N20 93C25 47H10 PDFBibTeX XMLCite \textit{Y. C. Ahn} and \textit{D. G. Park}, JP J. Fixed Point Theory Appl. 3, No. 3, 187--197 (2008; Zbl 1167.93006) Full Text: Link
Sattayatham, P. Nonlinear impulsive periodic evolution equations. (English) Zbl 1286.49036 Adv. Differ. Equ. Control Process. 2, No. 1, 61-74 (2008). MSC: 49N25 49J27 35K90 47N10 PDFBibTeX XMLCite \textit{P. Sattayatham}, Adv. Differ. Equ. Control Process. 2, No. 1, 61--74 (2008; Zbl 1286.49036) Full Text: Link
Sattayatham, P. Strongly nonlinear impulsive evolution equations and optimal control. (English) Zbl 1065.49023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 7-8, 1005-1020 (2004). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49N25 49J27 34G20 93C25 34A37 49J15 PDFBibTeX XMLCite \textit{P. Sattayatham}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 7--8, 1005--1020 (2004; Zbl 1065.49023) Full Text: DOI
Ahmed, N. U. Impulsive evolution equations in infinite dimensional spaces. (English) Zbl 1023.49025 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 10, No. 1-3, 11-24 (2003). MSC: 49N25 34A37 34G20 34K30 93C25 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 10, No. 1--3, 11--24 (2003; Zbl 1023.49025)
Ahmed, N. U. Impulsive perturbation of \(C_0\)-semigroups and evolution inclusions. (English) Zbl 1037.35095 Nonlinear Funct. Anal. Appl. 7, No. 4, 555-580 (2002). Reviewer: Emil Minchev (Tokyo) MSC: 35R12 35R70 34A35 34A37 34A60 34G25 93C25 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Nonlinear Funct. Anal. Appl. 7, No. 4, 555--580 (2002; Zbl 1037.35095)
Ahmed, N. U. Systems governed by impulsive differential inclusions on Hilbert spaces. (English) Zbl 0995.34053 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 6, 693-706 (2001). Reviewer: Daniel C.Biles (Bowling Green) MSC: 34G25 34H05 34A37 34A12 49N25 93B03 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 6, 693--706 (2001; Zbl 0995.34053) Full Text: DOI
Ahmed, N. U. State dependent vector measures as feedback controls for impulsive systems in Banach spaces. (English) Zbl 0990.34056 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 8, No. 2, 251-261 (2001). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 34G20 93C25 34K30 35A05 35B30 93B25 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 8, No. 2, 251--261 (2001; Zbl 0990.34056)
Ahmed, N. U. Some remarks on the dynamics of impulsive systems in Banach spaces. (English) Zbl 0995.34050 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 8, No. 2, 261-274 (2001). Reviewer: Mouffak Benchohra (Sidi Bel Abbes) MSC: 34G20 34A37 34K30 35A05 35B30 93C25 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 8, No. 2, 261--274 (2001; Zbl 0995.34050)
Stewart, David E. Formulating measure differential inclusions in infinite dimensions. (English) Zbl 0968.34043 Set-Valued Anal. 8, No. 3, 273-293 (2000). MSC: 34G25 34A60 34H05 49K24 28B05 70F99 PDFBibTeX XMLCite \textit{D. E. Stewart}, Set-Valued Anal. 8, No. 3, 273--293 (2000; Zbl 0968.34043) Full Text: DOI