| [63] | M. Onitsuka, Approximate solutions of generalized logistic equation, Discrete and Continuous Dynamical Systems. Series B, (2024), accepted. |
| [62] | A. Ponmana Selvan and M. Onitsuka, Sufficient conditions for Ulam type stability of second-order linear differential equations using Laplace transform, Rocky Mountain Journal of Mathematics, (2024), accepted. |
| [61] | K. Fujimoto and M. Onitsuka, Leighton-Wintner type oscillation criteria for second-order differential equations with p(t)-Laplacian, Electronic Journal of Qualitative Theory of Differential Equations, 2024 (2024),No. 19, 1-9. |
| [60] | M. Onitsuka and S. Tanaka, Influence of nonlinearity to box-counting dimension of spiral orbits for two-dimensional differential systems, Bulletin des Sciences Mathematiques, 192 (2024), paper no. 103417, 27pp. article link |
| [59] | M. Kondo and M. Onitsuka, Ulam type stability for von Bertalanffy growth model with Allee effect, Mathematical Biosciences and Engineering, 21 (2024), issue 3, 4698-4723. article link |
| [58] | M. Onitsuka and Iz. EL-Fassi, Generalized Caputo--Fabrizio fractional differential equation, Journal of Applied Analysis and Computation, 14 (2024), no. 2, 964-975. article link |
| [57] | D. R. Anderson and M. Onitsuka, Hyers-Ulam stability for a type of discrete Hill equation, Results in Mathematics, 79 (2024), Paper No. 68, 19pp. article link |
| [56] | M. Onitsuka, Ulam stability for third-order linear differential equations with variable coefficients, Mediterranean Journal of Mathematics, 21 (2024), Paper No. 2, 14 pp. article link |
| [55] | L. Backes, D. Dragicevic, M. Onitsuka and M. Pituk, Conditional Lipschitz shadowing for ordinary differential equations, Journal of Dynamics and Differential Equations, (2023). article link |
| [54] | D. R. Anderson and M. Onitsuka, Ulam stability and instability of first-order linear 1-periodic and 2-periodic dynamic equations on isolated time scales, Dynamic Calculus and Equations on Time Scales, De Gruyter, (2023), 147-174. article link |
| [53] | A. Ponmana Selvan and M. Onitsuka, Ulam type stabilities of n-th order linear differential equations using Gronwall's inequality, Results in Mathematics, 78 (2023), Paper No. 198, 19 pp. article link |
| [52] | Iz. EL-Fassi, A. Najati, M. Onitsuka and T. M. Rassias, A new hyperstability result for the multi-Drygas equation via the Brzdek's fixed point approach, Results in Mathematics, 78 (2023), Paper No. 92, 20 pp. article link |
| [51] | M. Onitsuka, Approximation of limit cycle of differential systems with variable coefficients, Archivum Mathematicum (Brno), 59 (2023), no. 1, 85-97. article link |
| [50] | D. R. Anderson and M. Onitsuka, Equilibrium stability for the discrete diamond-alpha operator, Bulletin of the Malaysian Mathematical Sciences Society, (2023) 46:15. article link |
| [49] | M. Onitsuka and Iz. El-Fassi, On approximate solutions of a class of Clairaut's equations, Applied Mathematics and Computation, 428 (2022), Paper No. 127205, 13 pp. article link |
| [48] | D. R. Anderson and M. Onitsuka, Hyers-Ulam stability for differential systems with 2×2 constant coefficient matrix, Results in Mathematics, 77 (2022), Paper No. 136, 23 pp. article link |
| [47] | M. Onitsuka, Ulam stability for second-order linear differential equations with three variable coefficients, Results in Applied Mathematics, 14 (2022), 100270, 6 pp. article link |
| [46] | M. Onitsuka, Conditional Ulam stability and its application to von Bertalanffy growth model, Mathematical Biosciences and Engineering, 19 (2022), no. 3, 2819-2834. article link |
| [45] | M. Onitsuka, Hyers-Ulam stability for second order linear differential equations of Carathéodory type, Journal of Mathematical Inequalities, 15 (2021), no. 4, 1499-1518. article link |
| [44] | D. R. Anderson and M. Onitsuka, Ulam stability for nonautonomous quantum equations, Journal of Inequalities and Applications, 2021 (2021), Paper No. 161, 16 pp. article link |
| [43] | M. Onitsuka, Conditional Ulam stability and its application to the logistic model, Applied Mathematics Letters, 122 (2021), 107565, 7 pp. article link |
| [42] | D. R. Anderson and M. Onitsuka, Best Hyers-Ulam stability constants on a time scale with discrete core and continuous periphery, Nonlinear Analysis, Differential Equations and Applications, Springer Optimization and Its Applications, vol 173 (2021), 17-37. article link |
| [41] | M. Onitsuka, Instability of second-order nonhomogeneous linear difference equations with real-valued coefficients, Carpathian Journal of Mathematics, 37 (2021), no. 3, 489-495. article link |
| [40] | D. R. Anderson and M. Onitsuka, Hyers-Ulam stability of second-order linear dynamic equations on time scales, Acta Mathematica Scientia, 41 (2021), no. 5, 1809-1826. article link |
| [39] | D. R. Anderson and M. Onitsuka, Hyers-Ulam stability for Cayley quantum equations and its application to h-difference equations, Mediterranean Journal of Mathematics, 18, (2021) Art. 168, 13pp. article link |
| [38] | D. R. Anderson and M. Onitsuka, Hyers-Ulam stability for quantum equations, Aequationes mathematicae, 95 (2021), no. 2, 201-214. article link |
| [37] | D. R. Anderson and M. Onitsuka, Best constant for Hyers-Ulam stability of two step sizes linear difference equations, Journal of Mathematical Analysis and Applications, 496 (2021) 124807, 17pp. article link |
| [36] | M. Onitsuka and S. Tanaka, Rectifiability of orbits for two-dimensional nonautonomous differential systems, Electronic Journal of Qualitative Theory of Differential Equations, 2021 (2021), no. 18, 23pp. article link |
| [35] | K. Itakura, M. Onitsuka and S. Tanaka, Perturbations of planar quasilinear differential systems, Journal of Differential Equations, 271 (2021), 216-253. article link |
| [34] | K. Manabe and M. Onitsuka, Hyers-Ulam-Rassias stability of first-order homogeneous linear difference equations with a small step size, The Bulletin of the Okayama University of Science, No.56 A (2020), 1-9. article link |
| [33] | D. R. Anderson, M. Onitsuka and J. M. Rassias, Best constant for Ulam stability of first-order h-difference equations with periodic coefficient, Journal of Mathematical Analysis and Applications, 491 (2020) 124363, 15pp. article link |
| [32] | R. Fukutaka and M. Onitsuka, Best constant for Ulam stability of Hill's equations, Bulletin des Sciences Mathematiques, 163 (2020), 102888, 23pp. article link |
| [31] | D. R. Anderson and M. Onitsuka, Hyers-Ulam stability for quantum equations of Euler type, Discrete Dynamics in Nature and Society, (2020), Article ID 5626481, 10 pp. article link |
| [30] | D. R. Anderson and M. Onitsuka, Hyers-Ulam stability and best constant for Cayley h-difference equations, Bulletin of the Malaysian Mathematical Sciences Society, 43 (2020), no. 6, 4207-4222. article link |
| [29] | R. Fukutaka and M. Onitsuka, A necessary and sufficient condition for Hyers-Ulam stability of first-order periodic linear differential equations, Applied Mathematics Letters, 100 (2020), 106040, 7 pp. article link |
| [28] | M. Onitsuka, Hyers-Ulam stability of second-order nonhomogeneous linear difference equations with a constant stepsize, Journal of Computational Analysis and Applications, 28 (2020), no. 1, 152-165. article link |
| [27] | R. Fukutaka and M. Onitsuka, Ulam stability for a class of Hill's equations, Symmetry, 11 (2019), 1483, 15 pp. article link |
| [26] | D. R. Anderson and M. Onitsuka, Hyers-Ulam stability of a discrete diamond-alpha derivative equation, Frontiers in Functional Equations and Analytic Inequalities, Springer New york, (2019), 237-254. article link |
| [25] | D. R. Anderson and M. Onitsuka, Best constant for Hyers-Ulam stability of second-order h-difference equations with constant coefficients, Results in Mathematics, 74 (2019), no. 4, 74:151, 16 pp. article link |
| [24] | R. Fukutaka and M. Onitsuka, Best constant in Hyers-Ulam stability of first-order homogeneous linear differential equations with a periodic coefficient, Journal of Mathematical Analysis and Applications, 473 (2019), 1432-1446. article link |
| [23] | M. Onitsuka, Hyers-Ulam stability of first order linear differential equations of Carathéodory type and its application, Applied Mathematics Letters, 90 (2019), 61-68. article link |
| [22] | D. R. Anderson and M. Onitsuka, Hyers-Ulam stability for a discrete time scale with two step sizes, Applied Mathematics and Computation, 344-345 (2019), 128-140. article link |
| [21] | D. R. Anderson and M. Onitsuka, Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales, Demonstratio Mathematica, 51 (2018), no. 1, 198-210. article link |
| [20] | Y. Enaka and M. Onitsuka, Integral averaging technique for oscillation of damped half-linear oscillators, Czechoslovak Mathematical Journal, 68(143) (2018), no. 3, 755-770. article link |
| [19] | M. Onitsuka, Hyers-Ulam stability of first-order nonhomogeneous linear difference equations with a constant stepsize, Applied Mathematics and Computation, 330 (2018), 143-151. article link |
| [18] | M. Onitsuka and S. Tanaka, Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems, Mathematical Communications, 23 (2018), no. 1, 43-60. arXiv |
| [17] | M. Onitsuka, On the exponential stability of two-dimensional nonautonomous difference systems which have a weighted homogeneity of the solution, Advances in Difference Equations and Discrete Dynamical Systems, Springer Proceedings in Mathematics & Statistics book series, 212 (2017), 183-198. |
| [16] | M. Onitsuka, Influence of the stepsize on Hyers-Ulam stability of first-order homogeneous linear difference equations, International Journal of Difference Equations, 12 (2017), no. 2, 281-302. article link |
| [15] | M. Onitsuka and S. Tanaka, Characteristic equation for autonomous planar half-linear differential systems, Acta Mathematica Hungarica, 152 (2017), no. 2, 336-364. article link |
| [14] | M. Onitsuka and S. Tanaka, Rectifiability of solutions for a class of two-dimensional linear differential systems, Mediterranean Journal of Mathematics, 14 (2017), no. 2, Art. 51, 11 pp. article link |
| [13] | M. Onitsuka and T. Shoji, Hyers-Ulam stability of first-order homogeneous linear differential equations with a real-valued coefficient, Applied Mathematics Letters, 63 (2017), 102-108. article link |
| [12] | M. Onitsuka and T. Soeda, Uniform asymptotic stability implies exponential stability for nonautonomous half-linear differential systems, Advances in Difference Equations, 2015 (2015), 2015:158, 24 pp. article link |
| [11] | J. Sugie and M. Onitsuka, Growth conditions for uniform asymptotic stability of damped oscillators, Nonlinear Analysis, 98 (2014), 83-103. |
| [10] | M. Onitsuka and J. Sugie, Uniform global asymptotic stability for half-linear differential systems with time-varying coefficients, Proceedings of the Royal Society of Edinburgh Sect A, 141 (2011), no. 5, 1083-1101. |
| [9] | M. Onitsuka, Uniform asymptotic stability for damped linear oscillators with variable parameters, Applied Mathematics and Computation, 218 (2011), no. 4, 1436-1442. |
| [8] | J. Sugie, Y. Ogami and M. Onitsuka, Asymptotic stability for quasi-linear systems whose linear approximation is not assumed to be uniformly attractive, Annali di Matematica Pura ed Applicata. Series IV, 190 (2011), no. 3, 409-425. |
| [7] | J. Sugie, S. Hata and M. Onitsuka, Global attractivity for half-linear differential systems with periodic coefficients, Journal of Mathematical Analysis and Applications, 371 (2010), no. 1, 95-112. |
| [6] | J. Sugie and M. Onitsuka, Integral conditions on the uniform asymptotic stability for two-dimensional linear systems with time-varying coefficients, Proceedings of the American Mathematical Society, 138 (2010), no. 7, 2493-2503. |
| [5] | M. Onitsuka, Non-uniform asymptotic stability for the damped linear oscillator, Nonlinear Analysis, 72 (2010), no. 3-4, 1266-1274. |
| [4] | J. Sugie and M. Onitsuka, Global asymptotic stability for half-linear differential systems with coefficients of indefinite sign, Archivum Mathematicum (Brno), 44 (2008), no. 4, 317-334. |
| [3] | J. Sugie and M. Onitsuka, Global asymptotic stability for damped half-linear differential equations, Acta Scientiarum Mathematicarum (Szeged), 73 (2007), no. 3-4, 613-636. |
| [2] | J. Sugie, M. Onitsuka and A. Yamaguchi, Asymptotic behavior of solutions of nonautonomous half-linear differential systems, Studia Scientiarum Mathematicarum Hungarica, 44 (2007), no. 2, 159-189. |
| [1] | J. Sugie and M. Onitsuka, A non-oscillation theorem for nonlinear differential equations with p-Laplacian, Proceedings of the Royal Society of Edinburgh Sect A, 136 (2006), no. 3, 633-647. |