研究業績

Research articles

[1] Global stability of nonautonomous logistic equations with a piecewise constant delay, Nonlinear Analysis: RWA, (2009) doi:10.1016/j.nonrwa.2009.06.003 (with H. Liu, Y. Nakata and R. Yuan).

[2] Permanence for nonautonomous Lotka-Volterra cooperative systems with delays, Nonlinear Analysis: RWA, (2009) doi:10.1016/j.nonrwa.2009.01.002 (with Y. Nakata).

[3] A general discrete time model of population dynamics in the presence of an infection, Discret. Dynam. Nat. Soc. (2009) doi:10.1155/2009/143019 (with G. Izzo and A. Vecchio).

[4] Contractivity for nonautonomous logistic equation with piecewise constant delays, AIP Conf. Proc. 1124 (2009) 254-263 (with Y. Nakata and M. Kuroda).

[5] Stability for a class of difference equations, J. Comput. Appl. Math. 228 (2009) 561-570 (with E. Ishiwata).

[6] New global stability conditions for a class of difference equations, Front. Math. China. 4(1) (2009) 131-154 (with E. Ishiwata and N. Guglielmi).

[7] On collocation methods for delay differential and Volterra integral equations with proportional delay, Front. Math. China. 4(1) (2009) 89-111 (with E. Ishiwata).

[8] A sufficient conditions for the global asymptotic stability of a class of logistic equations with piecewise constant delay, Nonlinear Analysis: RWA, 10 (2009) 244-253 (with H. Li and R. Yuan).

[9] New contractivity condition in a population model with piecewise constant arguments, J. Math. Anal. Appl. 346 (2008) 65-81.

[10] Asymptotic behavior of solutions for nonlinear Volterra discrete equations, Discrete Dynamics in Nature and Society, (2008) doi:10.1155/2008/867623 (with E. Messina, E. Russo and A. Vecchio).

[11] A super-attainable order in collocation methods for differential equations with proportional delay, Appl. Math. Comp. 198 (2008) 227-236 (with E. Ishiwata and H. Brunner).

[12] Global stability for nonlinear difference equations with variable coefficients, J. Math. Anal. Appl. 334 (2007) 232-247 (with E. Ishiwata and N. Guglielmi).

[13] Global attractivity for discrete models of nonautonomous logistic equations, Comput. Math. Appl. 53 (2007) 1059-1073.

[14] Rational approximation method for delay differential equations with proportional delay, Appl. Math. Comput. 187 (2007) 741-747 (with E. Ishiwata).

[15] Persistence and global stability in discrete models of Lotka-Volterra type, J. Math. Anal. Appl. 330 (2007) 24-33.

[16] Global attractivity for discrete Clark model x_{n+1}=qx_{n}+(1-q)g(x_{n-k}), Proceedings of the Fourth International Conference on Nonlinear Analysis and Convex Analysis (2005 Okinawa) (2007) 387-398 (with E. Ishiwata).

[17] Global stability for separable nonlinear delay differential systems, J. Math. Anal. Appl. 326 (2007) 372-389.

[18] A global stability criterion in scalar delay differential equations, J. Math. Anal. Appl. 326 (2007) 209-227 (with E. Ishiwata).

[19] Permanence of nonautonomous Lotka-Volterra delay differential systems, Appl. Math. Lett. 19(5) (2006) 445-450.

[20] Persistence and global stability for pure-delay type nonautonomous Lotka-Volterra differential systems, J. Concret. Appl. Math. 3(3) (2005).

[21] Contractivity and global stability for discrete models of Lotka-Volterra type, Hokkaido Math. J. 34(2) (2005) 277-297.

[22] Global stability for separable nonlinear delay differential equations, Comput. Math. Appl. 49 (2005) 1913-1927.

[23] Partial survival and extinction of species in discrete nonautonomous Lotka-Volterra systems, Tokyo J. of Math. 28(1) (2005) 189-200.

[24] On Gopalsamy and Liu's conjecture for global stability in a population model, J. Comput. Appl. Math. 181 (2005), 70-82, (with Y. Kato).

[25] Permanence, contractivity and global stability in logistic equations with general delays, J. Math. Anal. Appl. 302 (2005), 389-401.

[26] Boundedness and partial survival of species in nonautonomous Lotka-Volterra systems, Nonlinear Analysis, RWA 6 (2005), 263-272.

[27] Global stability for nonlinear difference equations with variable delay, Proceedings of the International Conference on Nonliner Analysis and Convex Analysis (Tokyo 2003) (2004), (with E. Ishiwata).

[28] Persistence and global stability in Lotka-Volterra delay differential systems, Applied Mathematics Letters 17 (2004), 795-800.

[29] On the global attractivity for a logistic equation with piecewise constant arguments, J. Math. Anal. Appl. 294 (2004), 560-580, (with K. Uesugi and E. Ishiwata).

[30] Erratum to "Persistence and global stability in discrete models of pure-delay nonautonomous Lotka-Volterra type[J. Math. Anal. Appl. 293 (2004), 446-461]", J. Math. Anal. Appl. 300 (2004), 260-263.

[31] Persistence and global stability in discrete models of pure-delay nonautonomous Lotka-Volterra type, J. Math. Anal. Appl. 293 (2004), 446-461.

[32] Global stability in discrete models of nonautonomous Lotka-Volterra type, Hokkaido Math. J. 33 (2004), 115-126.

[33] Partial survival and extinction of species in nonautonomous Lotka-Volterra systems with delays, Dynamic Systems and Applications, 12 (2003), 295-306.

[34] Permanence and global stability in a Lotka-Volterra predator-prey system with delays, Applied Mathematics Letters 16 (2003), 1245-1250.

[35] Averaged growth and global stability of a nonautonomous Lotka-Volterra system with delays, Communications on Applied Nonlinear Analysis 10 (2003), 35-54.

[36] Basic LUL factorization and improved iterative method with orderings, Intern. J. Comp. Math. 80 (2003), 1049-1072, (with E. Ishiwata).

[37] Uniform persistence for Lotka-Volterra-type delay differential systems, Nonlinear Analysis, Real World Applications 4 (2003), 689-710.

[38] A sufficient condition on global stability in a logistic equation with piecewise constant arguments, Hokkaido Math. J. 32 (2003), 75-83.

[39] On the attainable order of collocation methods for pantograph integro-differential equations, J. Comput. Appl. Math. 152 (2003), 347-366, (with E. Ishiwata and H. Brunner).

[40] Persistence and global stability for discrete models of nonautonomous Lotka-Volterra type, J. Math. Anal. Appl. 273 (2002), 492-511.

[41] Persistence and global stability for nonautonomous Lotka-Volterra delay differential systems, Communications on Applied Nonlinear Analysis 9 (2002), 31-45.

[42] Persistence, contractivity and global stability in logistic equations with piecewise constant delays, J. Math. Anal. Appl. 270 (2002), 602-635.

[43] On the optimal relaxation parameters to the improved SOR method with orderings, Tokyo J. Math. 25 (2002), 314-322, (with E. Ishiwata).

[44] On Yoneyama's 3/2 stability theorems for one-dimentional delay differential equations, J. Math. Anal. Appl. 247 (2000), 314-322.

[45] On the attainable order of collocation methods for delay differential equations with proportional delay, BIT 40 (2000), 374-394, (with N. Takama and E. Ishiwata).

[46] Adaptive improved block SOR method with orderings, Japan J. Indust. Appl. Math. 16 (1999), 443-466, (with E. Ishiwata and K. Isogai).

[47] Improved SOR method with orderings and direct methods, Japan J. Indust. Appl. Math. 16 (1999), 175-193, (with E. Ishiwata).

[48] New criteria for generalized diagonally dominant matrices, Intern. J. Comput. Math. 69 (1998), 391-396, (with E. Ishiwata, M. Harada and H. Niki).

[49] Main convergence theorems for the improved SOR method with orderings, Intern. J. Comput. Math. 66 (1998), 123-147, (with E. Ishiwata).

[50] On nonlinear SOR-like methods, II-convergence of the SOR-Newton method for mildly nonlinear equations, Japan J. Indust. Appl. Math. 14 (1997), 99-110, (with K. Ishihara and T. Yamamoto).

[51] Improved SOR-like method with orderings for nonsymmetric linear equations derived from singular perturbation problems, in Numerical Analysis of Ordinary Differential Equations and its Applications, World Scientific Publishers, Singapore (1995), 59-73, (with E. Ishiwata).

[52] On coefficient-wise estimates in Fourier series for the solutions of nonlinear periodic differential systems, Mem. Sch. Sci. Eng. Waseda Univ. 47 (1983), 61-98.

[53] On coefficient-wise estimates in Chebyshev series for the solutions of nonlinear differential systems, Mem. Sch. Sci. Eng. Waseda Univ. 46 (1982), 345-382.

[54] An iteration method and coefficient-wise estimates in Chebyshev series for the solutions of linear differential systems, Mem. Sch. Sci. Eng. Waseda Univ. 45 (1981), 123-155.

[55] On a posteriori error estimates for Galerkin approximations to the solutions of two-point boundary value problems, Mem. Sch. Sci. Eng. Waseda Univ. 43 (1979), 163-169.

[56] A practical Chebyshev series approximation with some a priori error estimates to the solutions of singular perturbation problems, Mem. Sch. Sci. Eng. Waseda Univ. 42 (1978), 75-98 (with Y. Kohno).

[57] Monotonous iterations for nonlinear equations with applications to SOR methods, Mem. Sch. Sci. Eng. Waseda Univ. 36 (1972), 113-141.

[58] Left subinverses of matrices and monotonous iterations for nonlinear equations, Mem. Sch. Sci. Eng. Waseda Univ. 34 (1970), 157-171.

[59] A maximum principle for difference equations approximating a class of nonlinear hyperbolic equations, Mem. Fac. Sci. Kyushu Univ. Ser A 23 (1969), 1-11.

[60] Practical monotonous iterations for nonlinear equations, Mem. Fac. Sci. Kyushu Univ. Ser A 22 (1968), 56-73.

トップへ戻る