Bellman, Richard Monotone operators and nonlinear equations. (English) Zbl 0418.47027 J. Math. Anal. Appl. 67, 158-162 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 47H05 Monotone operators and generalizations 47J05 Equations involving nonlinear operators (general) 34A45 Theoretical approximation of solutions to ordinary differential equations 35A35 Theoretical approximation in context of PDEs 93C10 Nonlinear systems in control theory 34B15 Nonlinear boundary value problems for ordinary differential equations 35K55 Nonlinear parabolic equations 35J60 Nonlinear elliptic equations Keywords:method of successive approximations; monotone operators; nonlinear differential equations with initial values; two-point boundary value problems; systems; nonlinear heat equation; nonlinear potential equation PDF BibTeX XML Cite \textit{R. Bellman}, J. Math. Anal. Appl. 67, 158--162 (1979; Zbl 0418.47027) Full Text: DOI OpenURL References: [1] Bellman, R; Vasudevan, R, Quasi-linearization and the matrix Riccati equation, J. math. anal. appl., 64, 106-113, (1978) · Zbl 0382.34008 [2] Bellman, R, () [3] Bellman, R, On the non-negativity of Green’s functions, Boll. un. mat. ital., 12, 411-413, (1957) · Zbl 0085.31202 [4] Bellman, R, On variation—diminishing properties of Green’s functions, Boll. un. mat. ital., 16, 164-166, (1961) · Zbl 0099.06805 [5] Bellman, R; Bellman, R, Introduction to matrix analysis, (1970), McGraw-Hill New York · Zbl 0216.06101 [6] Bellman, R; Kalaba, R, Quasilinearization and nonlinear boundary-value problems, (1965), American Elsevier New York · Zbl 0139.10702 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.