Brauer, Fred; Wong, J. S. W. On the asymptotic relationships between solutions of two systems of ordinary differential equations. (English) Zbl 0185.16601 J. Differ. Equations 6, 527-543 (1969). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 31 Documents Keywords:ordinary differential equations PDF BibTeX XML Cite \textit{F. Brauer} and \textit{J. S. W. Wong}, J. Differ. Equations 6, 527--543 (1969; Zbl 0185.16601) Full Text: DOI References: [1] Brauer, F., The use of comparison theorems for ordinary differential equations, (Stability Problems of Solutions of Differential Equations. Stability Problems of Solutions of Differential Equations, Proc. of NATO Advanced Study Institute, Padua, Italy (1965)), 29-50 [2] Brauer, F., Asymptotic equivalence and asymptotic behavior of linear systems, Michigan Math. J., 9, 33-43 (1962) · Zbl 0111.08603 [3] Brauer, F., Nonlinear differential equations with forcing terms, (Proc. Am. Math. Soc., 15 (1964)), 758-765 · Zbl 0126.30004 [5] Coppel, W. A., Stability and Asymptotic Behavior of Differential Equations (1965), Heath and Co: Heath and Co Boston · Zbl 0154.09301 [6] Dunkel, O., Regular singular points of a system of homogeneous linear differential equations of the first order, (Proc. Am. Acad. Aets Sci., 38 (1902-1903)), 341-370 · JFM 51.0399.01 [7] Hale, J. K.; Onuchic, N., On the asymptotic behavior of solutions of a class of differential equations, Contr. Differential Eqs., 2, 61-75 (1963) · Zbl 0135.30002 [8] Hartman, P., Ordinary Differential Equations (1964), Wiley: Wiley New York · Zbl 0125.32102 [9] Hartman, P.; Onuchic, N., On the asymptotic integration of ordinary differential equations, Pacific J. Math., 13, 1193-1207 (1963) · Zbl 0188.46102 [10] Hartman, P.; Wintner, A., Asymptotic integrations of linear differential equations, Am. J. Math., 77, 45-86 (1955) · Zbl 0064.08703 [11] Hartman, P.; Wintner, A., Asymptotic integrations of nonlinear differential equations, Am. J. Math., 77, 692-724 (1955) · Zbl 0066.06902 [12] Kato, J., The asymptotic relation of two systems of ordinary differential equations, Contr. Diff. Eqs., 2, 141-161 (1963) [13] Levinson, N., The asymptotic behavior of a system of linear differential equations, Am. J. Math., 68, 1-6 (1946) · Zbl 0061.19706 [14] Levinson, N., The asymptotic nature of solutions of linear systems of differential equations, Duke Math. J., 15, 111-126 (1948) · Zbl 0040.19402 [15] Olech, C., On the asymptotic behavior of the solutions of a system of ordinary nonlinear differential equations, Bull. Acad. Polon. Sci. Cl. III, 4, 555-561 (1960) · Zbl 0072.09402 [16] Onuchic, N., Relationship among the solutions of two systems of ordinary differential equations, Michigan Math. J., 10, 129-139 (1963) · Zbl 0115.30301 [17] Onuchic, N., Nonlinear perturbation of a linear system of ordinary differential equations, Michigan Math. J., 11, 237-242 (1964) · Zbl 0126.30003 [18] Onuchic, N., Asymptotic relationships at infinity between the solutions of two systems of ordinary differential equations, J. Diff. Eqs., 3, 47-58 (1967) · Zbl 0153.11901 [19] Sansone, G.; Conti, R., Nonlinear Differential Equations (1964), MacMillan Company: MacMillan Company New York · Zbl 0128.08403 [20] Szmydt, Z., Sur l’allure asymptotique des intégrales des certain systèmes d’équations diff. nonlinéaires, Ann. Polon. Math., 1-2, 253-276 (1955) · Zbl 0064.34002 [21] Szmydt, Z., Perturbations non linéaires qui n’augment pas la croissance maximale des intégrales, Ann. Polon. Math., 11, 143-148 (1963) · Zbl 0102.30801 [22] Weyl, H., Comment on the preceding paper, Am. J. Math., 68, 7-12 (1946) · Zbl 0061.19707 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.