Thông tin tài liệu
er finite difference method for the general one-dimensional nonlinear biharmonic problems of first kind", J Comput Appl Math., 114, pp 275-290 [54] M.A Noor, S.T Mohyud-Din (2007), "A efficient method for fourth-order boundary value problems", Comput Math Appl., 54, pp 1101-1111 [55] C.V Pao (2000), "On fourth-order elliptic boundary value problems", Proc Amer Math Soc., 128, pp 1023-1030 [56] C.V Pao (2001), "Numerical methods for fourth order nonlinear elliptic boundary value problems", Numer Meth Part Diff Equ., 17, pp 347-368 [57] R Pei (2010), "Multiple solutions for biharmonic equations with asymptotically linear nonlinearities", Bound Value Probl., 2010, Article ID 241518 [58] M Pei, S.K Chang (2011), "Existence of solutions for a fully nonlinear fourthorder two-point boundary value problem", J Appl Math Comput., 37, pp 287-295 [59] M.H Protter, H.F Weinberger (1984), Maximum Principles in Differential Equations, Springer [60] M Ronto, A.M Samoilenko (2000), Numerical Analytic methods in the theory of boundary value problem, World Sci Publ, Singapore [61] A.A Samarskii (2001), The Theory of Difference Schemes, New York, Marcel Dekker [62] A.A Samarskii, E Nikolaev (1989), Numerical methods for grid equation, vol 1: Direct Method, Birkhauser, Basel [63] J Talwar, R.K Mohanty (2012), "A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates", Adv Numer Anal., 2012, Article ID 626419, 20 pages [64] B Yang (2005), "Positive solutions for a fourth order boundary value problem", Elect J Quali Theo Diff Equa., 3, pp 1-17 134 [65] S Yardimci, E Ugurlu (2014), "Nonlinear fourth order boundary value problem", Bound Value Prob., 2014:189 [66] F Wang, Y An (2012), "Existence and multiplicity of solutions for a fourthorder elliptic equation", Bound Value Probl., 2012, 2012:6 [67] Y.M Wang (2005), "On fourth-order elliptic boundary value problems with nonmonotone nonlinear function", J Math Anal Appl., 307, pp 1-11 [68] Y.M Wang (2006), "Convergence analysis of a monotone method for fourthorder semilinear elliptic boundary vale problems", Appl Math Lett., 19, pp 332-339 [69] Y.M Wang (2007), "Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary vale problems", J Comput Appl Math., 200, pp 503-519 [70] Y.M Wang (2007), "Monotone iterative technique for numerical solutions of fourth-order nonlinear elliptic boundary value problems", Appl Numer Math., 57, pp 1081-1096 [71] E Zeidler (1986), Nonlinear functional analysis and its applications, I: FixedPoint Theorems, Springer 135
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