Baskaran, Sanmugam; Murali, Ramdoss; Park, Choonkil; Selvan, Arumugam Ponmana Sumudu transform and the stability of second order linear differential equations. (English) Zbl 07926206 J. Math. Inequal. 18, No. 3, 847-864 (2024). MSC: 34A30 34D10 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Rizwan, Rizwan; Liu, Fengxia; Zheng, Zhiyong; Park, Choonkil; Paokanta, Siriluk Existence theory and Ulam’s stabilities for switched coupled system of implicit impulsive fractional order Langevin equations. (English) Zbl 1540.34030 Bound. Value Probl. 2023, Paper No. 115, 20 p. (2023). MSC: 34A08 34A37 34D10 34A09 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Fakunle, Ilesanmi; Arawomo, Peter Olutola Hyers-Ulam stability theorems for second order nonlinear damped differential equations with forcing term. (English) Zbl 07815836 J. Niger. Math. Soc. 42, No. 1, 19-35 (2023). MSC: 26A46 34C10 11R33 35Q31 × Cite Format Result Cite Review PDF Full Text: Link
Aslıyüce, Serkan; Öğrekçi, Süleyman Ulam type stability for a class of second order nonlinear differential equations. (English) Zbl 1549.34164 Facta Univ., Ser. Math. Inf. 38, No. 2, 429-435 (2023). MSC: 34D10 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Fakunle, Ilesanmi; Arawomo, Peter Olutola Hyers-Ulam-Rassias stability of some perturbed nonlinear second order ordinary differential equations. (English) Zbl 1538.34209 Proyecciones 42, No. 5, 1157-1175 (2023). MSC: 34D10 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Öğrekçi, Süleyman; Başcı, Yasemin; Mısır, Adil A fixed point method for stability of nonlinear Volterra integral equations in the sense of Ulam. (English) Zbl 1529.45009 Math. Methods Appl. Sci. 46, No. 8, 8437-8444 (2023). MSC: 45M10 45D05 47N20 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Arumugam, Ponmana Selvan; Gandhi, Ganapathy; Murugesan, Saravanan; Ramachandran, Veerasivaji Laplace transform and Hyers-Ulam stability of differential equation for logistic growth in a population model. (English) Zbl 1528.34045 Commun. Korean Math. Soc. 38, No. 4, 1163-1173 (2023). MSC: 34D10 92D25 44A10 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Sayyari, Yamin; Dehghanian, Mehdi; Park, Choonkil Some stabilities of system of differential equations using Laplace transform. (English) Zbl 1530.34016 J. Appl. Math. Comput. 69, No. 4, 3113-3129 (2023). Reviewer: Pavel Rehak (Brno) MSC: 34A30 34D10 44A10 33E12 × Cite Format Result Cite Review PDF Full Text: DOI
Selvan, A. Ponmana; Onitsuka, M. Ulam type stabilities of \(n\)-th order linear differential equations using Gronwall’s inequality. (English) Zbl 1522.34034 Result. Math. 78, No. 5, Paper No. 198, 19 p. (2023). MSC: 34A30 34D10 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo; Simões, A. M.; Selvan, A. Ponmana; Roh, Jaiok On the stability of Bessel differential equation. (English) Zbl 07908197 J. Appl. Anal. Comput. 12, No. 5, 2014-2023 (2022). MSC: 34K20 34K30 34K05 34B30 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Mısır, Adil; Öğrekçi, Süleyman; Başcı, Yasemin Ulam type stability of second-order linear differential equations with constant coefficients having damping term by using the Aboodh transform. (English) Zbl 1499.34370 Proyecciones 41, No. 6, 1475-1504 (2022). MSC: 34K20 26D10 44A10 39B82 34A40 39A30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xuping; Xi, Yanli; O’Regan, Donal Well-posedness and stability for fuzzy fractional differential equations. (English) Zbl 1505.34005 Nonlinear Anal., Model. Control 27, No. 5, 980-993 (2022). MSC: 34A07 34A08 34D20 47N20 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Simões, Alberto; Selvan, Ponmana Hyers-Ulam stability of a certain Fredholm integral equation. (English) Zbl 1493.45002 Turk. J. Math. 46, No. 1, 87-98 (2022). MSC: 45B05 × Cite Format Result Cite Review PDF Full Text: DOI
Shaabani, Mahmood Haji; Haromi, Malihe Farzi Hyers-Ulam stability of some linear operators on a Hilbert space. (English) Zbl 1516.47043 J. Math. Ext. 16, No. 11, Paper No. 1, 9 p. (2022). MSC: 47B20 47B25 × Cite Format Result Cite Review PDF Full Text: DOI
Ben Makhlouf, Abdellatif; El-hady, El-sayed; Boulaaras, Salah; Mchiri, Lassaad Stability results of some fractional neutral integrodifferential equations with delay. (English) Zbl 1489.45012 J. Funct. Spaces 2022, Article ID 8211420, 7 p. (2022). MSC: 45M10 34K37 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Aruldass, Antony Raj; Pachaiyappan, Divyakumari; Park, Choonkil Kamal transform and Ulam stability of differential equations. (English) Zbl 07905192 J. Appl. Anal. Comput. 11, No. 3, 1631-1639 (2021). MSC: 44A10 39B82 34A40 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Murali, Ramdoss; Park, Choonkil; Selvan, Arumugam Ponmana Hyers-Ulam stability for an \(n^{th}\) order differential equation using fixed point approach. (English) Zbl 07905136 J. Appl. Anal. Comput. 11, No. 2, 614-631 (2021). MSC: 65Mxx 49J20 39B72 47H10 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Murali, Ramdoss; Selvan, Arumugam Ponmana; Park, Choonkil; Lee, Jung Rye Aboodh transform and the stability of second order linear differential equations. (English) Zbl 1494.34128 Adv. Difference Equ. 2021, Paper No. 296, 18 p. (2021). MSC: 34D20 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
El-hady, El-sayed; Ben Makhlouf, Abdellatif A novel stability analysis for the Darboux problem of partial differential equations via fixed point theory. (English) Zbl 1509.35112 AIMS Math. 6, No. 11, 12894-12901 (2021). MSC: 35G30 35R10 45N05 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Unyong, Bundit; Govindan, Vediyappan; Bowmiya, S.; Rajchakit, G.; Gunasekaran, Nallappan; Vadivel, R.; Lim, Chee Peng; Agarwal, Praveen Generalized linear differential equation using Hyers-Ulam stability approach. (English) Zbl 1484.34059 AIMS Math. 6, No. 2, 1607-1623 (2021). MSC: 34A30 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Raj Aruldass, Antony; Pachaiyappan, Divyakumari; Park, Choonkil Hyers-Ulam stability of second-order differential equations using Mahgoub transform. (English) Zbl 1485.34181 Adv. Difference Equ. 2021, Paper No. 23, 10 p. (2021). MSC: 34K20 26D10 44A15 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Onitsuka, Masakazu Hyers-Ulam stability for second order linear differential equations of Carathéodory type. (English) Zbl 1492.34016 J. Math. Inequal. 15, No. 4, 1499-1518 (2021). Reviewer: Rodica Luca (Iaşi) MSC: 34A30 34D10 34H05 × Cite Format Result Cite Review PDF Full Text: DOI
Murali, Ramdoss; Selvan, Arumugam Ponmana; Baskaran, Sanmugam; Park, Choonkil; Lee, Jung Rye Hyers-Ulam stability of first-order linear differential equations using Aboodh transform. (English) Zbl 1504.34129 J. Inequal. Appl. 2021, Paper No. 133, 18 p. (2021). MSC: 34D10 34A30 34G10 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo; Kim, Byungbae Approximate solutions of Schrödinger equation with a quartic potential. (English) Zbl 1476.34118 Nonlinear Funct. Anal. Appl. 26, No. 1, 157-164 (2021). MSC: 34D10 34A40 34A45 39B82 41A30 × Cite Format Result Cite Review PDF Full Text: Link
Jung, Soon-Mo; Arumugam, Ponmana Selvan; Ramdoss, Murali Mahgoub transform and Hyers-Ulam stability of first-order linear differential equations. (English) Zbl 1480.34009 J. Math. Inequal. 15, No. 3, 1201-1218 (2021). MSC: 34A30 34D10 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Kamal; Shah, Liaqat; Ahmad, Saeed; Rassias, John Michael; Li, Yongjin Monotone iterative techniques together with Hyers-Ulam-Rassias stability. (English) Zbl 1493.34029 Math. Methods Appl. Sci. 44, No. 10, 8197-8214 (2021). Reviewer: J. Vasundhara Devi (Visakhapatnam) MSC: 34A08 34B15 34B10 34D10 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Öğrekçi, Süleyman; Başcı, Yasemin; Mısır, Adil Ulam type stability for conformable fractional differential equations. (English) Zbl 1476.34030 Rend. Circ. Mat. Palermo (2) 70, No. 2, 807-817 (2021). MSC: 34A08 34D10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Rizwan, Rizwan; Zada, Akbar Existence theory and Ulam’s stabilities of fractional Langevin equation. (English) Zbl 1472.34015 Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 57, 17 p. (2021). MSC: 34A08 34D10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Choubin, Mehdi; Javanshiri, Hossein A new approach to the Hyers-Ulam-Rassias stability of differential equations. (English) Zbl 1471.34049 Result. Math. 76, No. 1, Paper No. 11, 14 p. (2021). MSC: 34B15 34D10 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Alghamdi, Maryam A.; Aljehani, Alaa; Bohner, Martin; Hamza, Alaa E. Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations. (English) Zbl 1474.34624 Publ. Inst. Math., Nouv. Sér. 109(123), 83-93 (2021). MSC: 34N05 34D10 34G10 × Cite Format Result Cite Review PDF Full Text: DOI
Sonalkar, V. P.; Mohapatra, A. N.; Valaulikar, Y. S. Hyers-Ulam stability of first and second order partial differential equations. (English) Zbl 1524.35074 Jñānābha 50, No. 2, 38-43 (2020). MSC: 35B35 26D10 34K20 39B52 × Cite Format Result Cite Review PDF Full Text: Link
da C. Sousa, J. Vanterler; de Oliveira, E. Capelas; Rodrigues, F. G. Ulam-Hyers stabilities of fractional functional differential equations. (English) Zbl 1484.34174 AIMS Math. 5, No. 2, 1346-1358 (2020). MSC: 34K37 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Ramdoss, Murali; Selvan-Arumugam, Ponmana; Park, Choonkil Ulam stability of linear differential equations using Fourier transform. (English) Zbl 1484.34058 AIMS Math. 5, No. 2, 766-780 (2020). MSC: 34A30 42A38 42A85 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Zhenyu; Wu, Jianrong On the Ulam stability of fuzzy differential equations. (English) Zbl 1484.34006 AIMS Math. 5, No. 6, 6006-6019 (2020). MSC: 34A07 26E50 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo; Choi, Ginkyu Perturbation of the one-dimensional time-independent Schrödinger equation with a rectangular potential barrier. (English) Zbl 1475.34040 Open Math. 18, 1413-1422 (2020). MSC: 34D10 34A40 34A45 39B82 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Murali, R.; Selvan, A. Ponmana Hyers-Ulam stability of a free and forced vibrations. (English) Zbl 1488.34316 Kragujevac J. Math. 44, No. 2, 299-312 (2020). MSC: 34D10 34C15 70K40 × Cite Format Result Cite Review PDF Full Text: Link
Sajedi, Leila; Eghbali, Nasrin Generalized stability of thermistor problem. (English) Zbl 1470.34042 Appl. Math. E-Notes 20, 516-527 (2020). MSC: 34A34 34A12 34D10 × Cite Format Result Cite Review PDF Full Text: Link
Shen, Yonghong; Li, Yongjin The particular solution and Ulam stability of linear Riemann-Liouville fractional dynamic equations on isolated time scales. (English) Zbl 1465.34103 J. Math. Inequal. 14, No. 4, 1389-1414 (2020). MSC: 34N05 34A08 34A05 44A10 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Başcı, Yasemin; Mısır, Adil; Öğrekçi, Süleyman On the stability problem of differential equations in the sense of Ulam. (English) Zbl 1439.34061 Result. Math. 75, No. 1, Paper No. 6, 13 p. (2020). MSC: 34D10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Niazi, Azmat Ullah Khan; Wei, Jiang; ur Rehman, Mujeeb; Du, Jun Ulam-Hyers-stability for nonlinear fractional neutral differential equations. (English) Zbl 1471.34149 Hacet. J. Math. Stat. 48, No. 1, 157-169 (2019). MSC: 34K37 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Kalvandi, Vida; Eghbali, Nasrin; Rassias, John Michael Mittag-Leffler-Hyers-Ulam stability of linear differential equations of second order. (English) Zbl 1462.34013 J. Math. Ext. 13, No. 1, 29-43 (2019). MSC: 34A08 34D10 34A30 × Cite Format Result Cite Review PDF Full Text: Link
Ramdoss, Murali; Arumugam, Ponmana Selvan Fourier transforms and Ulam stabilities of linear differential equations. (English) Zbl 1451.34075 Anastassiou, George A. (ed.) et al., Frontiers in functional equations and analytic inequalities. Cham: Springer. 195-217 (2019). MSC: 34D10 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Ali, Amjad; Shah, Kamal; Li, Yongjin Topological degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential equations. (English) Zbl 1451.34006 Anastassiou, George A. (ed.) et al., Frontiers in functional equations and analytic inequalities. Cham: Springer. 73-92 (2019). MSC: 34A08 34B15 34D10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Kamal; Gul, Zamin; Li, Yongjin; Khan, Rahmat Ali Hyers-Ulam’s stability results to a three-point boundary value problem of nonlinear fractional order differential equations. (English) Zbl 1451.34015 Anastassiou, George A. (ed.) et al., Frontiers in functional equations and analytic inequalities. Cham: Springer. 45-71 (2019). MSC: 34A08 34B10 34D10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Murali, R.; Selvan, A. Hyers-Ulam stability of \(n\)th order linear differential equation. (English) Zbl 1448.34114 Proyecciones 38, No. 3, 553-566 (2019). Reviewer: Olusola Akinyele (Bowie) MSC: 34D10 34B15 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Ginkyu; Jung, Soon-Mo; Roh, Jaiok An operator method for the stability of inhomogeneous wave equations. (English) Zbl 1423.35237 Symmetry 11, No. 3, Paper No. 324, 12 p. (2019). MSC: 35L05 35R45 35B20 35A25 35A23 35B35 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yonghong; Li, Yongjin A general method for the Ulam stability of linear differential equations. (English) Zbl 1426.34070 Bull. Malays. Math. Sci. Soc. (2) 42, No. 6, 3187-3211 (2019). MSC: 34D10 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Fukutaka, Ryuma; Onitsuka, Masakazu Best constant in Hyers-Ulam stability of first-order homogeneous linear differential equations with a periodic coefficient. (English) Zbl 1447.34019 J. Math. Anal. Appl. 473, No. 2, 1432-1446 (2019). Reviewer: Olusola Akinyele (Bowie) MSC: 34A30 34D10 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Zada, Akbar; Shaleena, Shaleena; Li, Tongxing Stability analysis of higher order nonlinear differential equations in \(\beta\)-normed spaces. (English) Zbl 1414.34045 Math. Methods Appl. Sci. 42, No. 4, 1151-1166 (2019). MSC: 34D10 34A37 34G20 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Onitsuka, Masakazu Hyers-Ulam stability of first order linear differential equations of Carathéodory type and its application. (English) Zbl 1408.34041 Appl. Math. Lett. 90, 61-68 (2019). MSC: 34D10 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Murali, R.; Selvan, A. Ponmana Hyers-Ulam-Rassias stability for the linear ordinary differential equation of third order. (English) Zbl 1488.34081 Kragujevac J. Math. 42, No. 4, 579-590 (2018). MSC: 34A30 34D10 × Cite Format Result Cite Review PDF Full Text: Link
Onitsuka, Masakazu Hyers-Ulam stability of first-order nonhomogeneous linear difference equations with a constant stepsize. (English) Zbl 1427.39018 Appl. Math. Comput. 330, 143-151 (2018). MSC: 39B82 39A06 65Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Eghbali, Nasrin; Kalvandi, Vida A fixed point approach to the Mittag-Leffer-Hyers-Ulam stability of differential equations \(y'(x)=F(x,y(x))\). (English) Zbl 1416.34046 Appl. Math. E-Notes 18, 34-42 (2018). MSC: 34D10 47N20 × Cite Format Result Cite Review PDF Full Text: Link
Jung, Soon-Mo; Roh, Jaiok Approximation property of the stationary Stokes equations with the periodic boundary condition. (English) Zbl 1407.35024 J. Funct. Spaces 2018, Article ID 5138414, 5 p. (2018). MSC: 35B30 35J25 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Niazi, A. U. K.; Wei, J.; Rehman, M. U.; Denghao, P. Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations. (English. Russian original) Zbl 1405.34063 Sb. Math. 209, No. 9, 1337-1350 (2018); translation from Mat. Sb. 209, No. 9, 87-101 (2018). MSC: 34K37 34K27 × Cite Format Result Cite Review PDF Full Text: DOI
Zada, Bakht Uniform exponential stability in the sense of Hyers and Ulam for periodic time varying linear systems. (English) Zbl 1400.34021 Differ. Equ. Appl. 10, No. 2, 227-234 (2018). MSC: 34A30 37C60 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo; Min, Seungwook Stability of the diffusion equation with a source. (English) Zbl 1458.35048 J. Funct. Spaces 2018, Article ID 1216901, 8 p. (2018). MSC: 35B35 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, JinRong; Zada, Akbar; Ali, Wajid Ulam’s-type stability of first-order impulsive differential equations with variable delay in quasi-Banach spaces. (English) Zbl 1401.34091 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 5, 553-560 (2018). MSC: 34K45 34K20 34K30 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo; Min, Seungwook Stability of the wave equation with a source. (English) Zbl 1391.39035 J. Funct. Spaces 2018, Article ID 8274159, 4 p. (2018). MSC: 39B82 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Derakhshan, Mohammad Hossein; Ansari, Alireza On Hyers-Ulam stability of fractional differential equations with Prabhakar derivatives. (English) Zbl 1384.34012 Analysis, München 38, No. 1, 37-46 (2018). MSC: 34A08 34K20 44A10 × Cite Format Result Cite Review PDF Full Text: DOI
Zada, Akbar; Wang, Peiguang; Lassoued, Dhaou; Li, Tongxing Connections between Hyers-Ulam stability and uniform exponential stability of 2-periodic linear nonautonomous systems. (English) Zbl 1422.34172 Adv. Difference Equ. 2017, Paper No. 192, 7 p. (2017). MSC: 34D20 34D10 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Zada, Akbar; Ali, Wajid; Farina, Syed Hyers-Ulam stability of nonlinear differential equations with fractional integrable impulses. (English) Zbl 1387.34026 Math. Methods Appl. Sci. 40, No. 15, 5502-5514 (2017). MSC: 34A37 26A33 34D10 34A40 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yonghong The Ulam stability of first order linear dynamic equations on time scales. (English) Zbl 1390.34247 Result. Math. 72, No. 4, 1881-1895 (2017). Reviewer: Pavel Rehak (Brno) MSC: 34N05 34A30 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo; Roh, Jaiok Hyers-Ulam stability of the time independent Schrödinger equations. (English) Zbl 1377.34073 Appl. Math. Lett. 74, 147-153 (2017). MSC: 34D10 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yonghong; Chen, Wei; Wang, Jing Fuzzy Laplace transform method for the Ulam stability of linear fuzzy differential equations of first order with constant coefficients. (English) Zbl 1380.34006 J. Intell. Fuzzy Syst. 32, No. 1, 671-680 (2017). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 34A07 26E50 34A30 44A10 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yonghong; Chen, Wei Laplace transform method for the Ulam stability of linear fractional differential equations with constant coefficients. (English) Zbl 1366.34011 Mediterr. J. Math. 14, No. 1, Paper No. 25, 17 p. (2017). MSC: 34A08 44A10 34A30 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo; Roh, Jaiok The linear differential equations with complex constant coefficients and Schrödinger equations. (English) Zbl 1357.34092 Appl. Math. Lett. 66, 23-29 (2017). MSC: 34D10 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Onitsuka, Masakazu; Shoji, Tomohiro Hyers-Ulam stability of first-order homogeneous linear differential equations with a real-valued coefficient. (English) Zbl 1351.34066 Appl. Math. Lett. 63, 102-108 (2017). MSC: 34D10 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Monea, Mihai; Marinescu, Dan Ştefan Some stability results related to some fixed point theorems. (English) Zbl 1424.39059 J. Class. Anal. 9, No. 1, 1-11 (2016). MSC: 39B82 37C25 39B72 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tongxing; Zada, Akbar Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces. (English) Zbl 1419.39038 Adv. Difference Equ. 2016, Paper No. 153, 8 p. (2016). MSC: 39A30 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yonghong; Wang, Faxing A fixed point approach to the Ulam stability of fuzzy differential equations under generalized differentiability. (English) Zbl 1366.34006 J. Intell. Fuzzy Syst. 30, No. 6, 3253-3260 (2016). MSC: 34A07 34D10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo; Roh, Jaiok; Lee, Juri Optimal Hyers-Ulam’s constant for the linear differential equations. (English) Zbl 1351.34065 J. Inequal. Appl. 2016, Paper No. 201, 7 p. (2016). MSC: 34D10 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Roh, Jaiok; Jung, Soon-Mo Approximation by first-order linear differential equations with an initial condition. (English) Zbl 1347.34022 J. Funct. Spaces 2016, Article ID 2406158, 7 p. (2016). MSC: 34A30 34A40 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo Approximation of analytic functions by solutions of Cauchy-Euler equation. (English) Zbl 1383.34016 J. Funct. Spaces 2016, Article ID 7874061, 5 p. (2016). MSC: 34A12 34A40 34B05 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Zada, Akbar; Faisal, Shah; Li, Yongjin On the Hyers-Ulam stability of first-order impulsive delay differential equations. (English) Zbl 1342.34100 J. Funct. Spaces 2016, Article ID 8164978, 6 p. (2016). MSC: 34K27 34K45 × Cite Format Result Cite Review PDF Full Text: DOI
Popa, Dorian; Pugna, Georgiana Hyers-Ulam stability of Euler’s differential equation. (English) Zbl 1342.34080 Result. Math. 69, No. 3-4, 317-325 (2016). MSC: 34G10 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, JinRong; Li, Xuezhu A uniform method to Ulam-Hyers stability for some linear fractional equations. (English) Zbl 1337.26020 Mediterr. J. Math. 13, No. 2, 625-635 (2016). MSC: 26A33 34D10 45N05 × Cite Format Result Cite Review PDF Full Text: DOI
Mirzaee, Farshid; Hadadiyan, Elham Approximation solution of nonlinear Stratonovich Volterra integral equations by applying modification of hat functions. (English) Zbl 1334.65208 J. Comput. Appl. Math. 302, 272-284 (2016). MSC: 65R20 45D05 65C30 65C20 60H20 60H35 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yonghong Hyers-Ulam-Rassias stability of first order linear partial fuzzy differential equations under generalized differentiability. (English) Zbl 1422.34007 Adv. Difference Equ. 2015, Paper No. 351, 18 p. (2015). MSC: 34A07 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yonghong On the Ulam stability of first order linear fuzzy differential equations under generalized differentiability. (English) Zbl 1377.34004 Fuzzy Sets Syst. 280, 27-57 (2015). MSC: 34A07 34A30 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Ginkyu; Jung, Soon-Mo Invariance of Hyers-Ulam stability of linear differential equations and its applications. (English) Zbl 1351.34064 Adv. Difference Equ. 2015, Paper No. 277, 14 p. (2015). MSC: 34D10 34A30 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo Hyers-Ulam stability of the first-order matrix differential equations. (English) Zbl 1332.34096 J. Funct. Spaces 2015, Article ID 614745, 7 p. (2015). MSC: 34D10 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Xiulan; Wang, Jinrong; Zhang, Yuruo On the \(\beta\)-Ulam-Hyers-Rassias stability of nonautonomous impulsive evolution equations. (English) Zbl 1321.34075 J. Appl. Math. Comput. 48, No. 1-2, 461-475 (2015). Reviewer: Qi Wang (Hefei) MSC: 34D10 34G20 37C60 34A37 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo; Rezaei, Hamid A fixed point approach to the stability of linear differential equations. (English) Zbl 1335.34086 Bull. Malays. Math. Sci. Soc. (2) 38, No. 2, 855-865 (2015). Reviewer: Ioan A. Rus (Cluj-Napoca) MSC: 34D10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Alqifiary, Qusuay H.; Jung, Soon-Mo On the Hyers-Ulam stability of differential equations of second order. (English) Zbl 1470.39062 Abstr. Appl. Anal. 2014, Article ID 483707, 8 p. (2014). MSC: 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yonghong; Chen, Wei; Lan, Yaoyao On the Ulam stability of a class of Banach space valued linear differential equations of second order. (English) Zbl 1417.34141 Adv. Difference Equ. 2014, Paper No. 294, 9 p. (2014). MSC: 34G10 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jinrong; Fečkan, Michal; Zhou, Yong On the stability of first order impulsive evolution equations. (English) Zbl 1331.34126 Opusc. Math. 34, No. 3, 639-657 (2014). MSC: 34G20 34D10 45N05 34A37 × Cite Format Result Cite Review PDF Full Text: DOI
Popa, Dorian; Raşa, Ioan Hyers-Ulam stability of some differential equations and differential operators. (English) Zbl 1320.34083 Rassias, Themistocles M. (ed.), Handbook of functional equations. Stability theory. New York, NY: Springer (ISBN 978-1-4939-1285-8/hbk; 978-1-4939-1286-5/ebook). Springer Optimization and Its Applications 96, 301-322 (2014). MSC: 34D10 34A30 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jinrong; Li, Xuezhu \(E_\alpha\)-Ulam type stability of fractional order ordinary differential equations. (English) Zbl 1296.34035 J. Appl. Math. Comput. 45, No. 1-2, 449-459 (2014). MSC: 34A08 34D10 45N05 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo; Şevli, Hamdullah Power series method and approximate linear differential equations of second order. (English) Zbl 1380.34026 Adv. Difference Equ. 2013, Paper No. 76, 9 p. (2013). MSC: 34A12 34A25 39B82 34A40 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo On the stability of the heat equation with an initial condition. (English) Zbl 1295.35241 J. Inequal. Appl. 2013, Paper No. 475, 6 p. (2013). MSC: 35K15 35K05 35B30 × Cite Format Result Cite Review PDF Full Text: DOI
Hegyi, Balázs; Jung, Soon-Mo On the stability of heat equation. (English) Zbl 1295.35239 Abstr. Appl. Anal. 2013, Article ID 202373, 4 p. (2013). MSC: 35K05 35B20 × Cite Format Result Cite Review PDF Full Text: DOI
Rezaei, Hamid; Jung, Soon-Mo; Rassias, Themistocles M. Laplace transform and Hyers-Ulam stability of linear differential equations. (English) Zbl 1286.34077 J. Math. Anal. Appl. 403, No. 1, 244-251 (2013). MSC: 34D10 34A30 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Jung, Soon-Mo An approximation property of simple harmonic functions. (English) Zbl 1281.30026 J. Inequal. Appl. 2013, Paper No. 3, 9 p. (2013). MSC: 30E10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, JinRong; Li, Xuezhu On the stability of nonautonomous linear impulsive differential equations. (English) Zbl 1273.34060 J. Funct. Spaces Appl. 2013, Article ID 425102, 6 p. (2013). MSC: 34D10 34A37 × Cite Format Result Cite Review PDF Full Text: DOI
Popa, Dorian; Raşa, Ioan Hyers-Ulam stability of the linear differential operator with nonconstant coefficients. (English) Zbl 1368.34075 Appl. Math. Comput. 219, No. 4, 1562-1568 (2012). MSC: 34G10 34D10 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Ghaemi, Mohammad Bagher; Gordji, Madjid Eshaghi; Alizadeh, Badrkhan; Park, Choonkil Hyers-Ulam stability of exact second-order linear differential equations. (English) Zbl 1291.34091 Adv. Difference Equ. 2012, Paper No. 36, 7 p. (2012). MSC: 34D10 26D10 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Wei; Li, Xuezhu; Li, Xia New stability results for fractional integral equation. (English) Zbl 1268.45007 Comput. Math. Appl. 64, No. 10, 3468-3476 (2012). MSC: 45J05 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, JinRong; Zhou, Yong; Fečkan, Michal Nonlinear impulsive problems for fractional differential equations and Ulam stability. (English) Zbl 1268.34033 Comput. Math. Appl. 64, No. 10, 3389-3405 (2012). MSC: 34A08 34A12 34A37 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Brillouët-Belluot, Nicole; Brzdȩk, Janusz; Ciepliński, Krzysztof On some recent developments in Ulam’s type stability. (English) Zbl 1259.39019 Abstr. Appl. Anal. 2012, Article ID 716936, 41 p. (2012). MSC: 39B82 39B52 × Cite Format Result Cite Review PDF Full Text: DOI