| [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.
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