William M. Whyburn 1901-1972
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- Bull. Amer. Math. Soc. 79 (1973), 1175-1183
References
- W. M. Whyburn, An extension of the definition of the Green’s function in one dimension, Ann. of Math. (2) 26 (1924), no. 1-2, 125–130. MR 1502681, DOI 10.2307/1967748 2. William M. Whyburn, On the Green’s function for systems of differential equations, Ann. of Math. 28 (1927), 291-300. 3. William M. Whyburn, On the polynomial convergents of power series, Bull. Amer. Math. Soc. 33 (1927), 673-676. 4. William M. Whyburn, Linear boundary value problems for ordinary differential equations and their associated difference equations, Dissertation, University of Texas, Austin, Tex., 1927.
- William M. Whyburn, Second-order differential systems with integral and $k$-point boundary conditions, Trans. Amer. Math. Soc. 30 (1928), no. 4, 630–640. MR 1501451, DOI 10.1090/S0002-9947-1928-1501451-5
- William M. Whyburn, Existence and oscillation theorems for non-linear differential systems of the second order, Trans. Amer. Math. Soc. 30 (1928), no. 4, 848–854. MR 1501463, DOI 10.1090/S0002-9947-1928-1501463-1
- William M. Whyburn, On the fundamental existence theorems for differential systems, Ann. of Math. (2) 30 (1928/29), no. 1-4, 31–38. MR 1502865, DOI 10.2307/1968263
- William M. Whyburn, On Related Difference and Differential Systems, Amer. J. Math. 51 (1929), no. 2, 265–286. MR 1506716, DOI 10.2307/2370709 9. William M. Whyburn, Non-isolated critical points of functions, Bull. Amer. Math. Soc. 35 (1929), 701-708. 10. William M. Whyburn, On related difference and differential systems, Bull. Amer. Math. Soc. 36 (1930), 94-98.
- William M. Whyburn, On Self-Adjoint Ordinary Differential Equations of the Fourth Order, Amer. J. Math. 52 (1930), no. 1, 171–196. MR 1506751, DOI 10.2307/2370655
- William M. Whyburn, Functional properties of the solutions of differential systems, Trans. Amer. Math. Soc. 32 (1930), no. 3, 502–508. MR 1501548, DOI 10.1090/S0002-9947-1930-1501548-9 13. William M. Whyburn, A set of cyclically related functional equations, Bull. Amer. Math. Soc. 36 (1930), 863-868. 14. William M. Whyburn, Functional inequalities, Tôhoku Math. J. 33 (1931), 265-274. 15. William M. Whyburn, A proof of the identity of the Riesz integral and the Lebesgue integral, Bull. Amer. Math. Soc. 37 (1931), 561-564. 16. William M. Whyburn, On the integration of unbounded functions, Bull. Amer. Math. Soc. 38 (1932), 123-131. 17. William M. Whyburn, Generalized Riccati differential equations, Tôhoku Math. J. 38 (1933), 447-450.
- E. R. Hedrick and W. M. Whyburn, An Application of the Dedekind Cut Notion to Integration, Amer. J. Math. 55 (1933), no. 1-4, 390–398. MR 1506974, DOI 10.2307/2371140
- William M. Whyburn, Matrix Differential Equations, Amer. J. Math. 56 (1934), no. 1-4, 587–592. MR 1507045, DOI 10.2307/2370957 20. William M. Whyburn, Existence theorems for ordinary differential equations, with special reference to their applications in physics, engineering and other fields, Univ. Calif., Los Angeles Publ. in Math. and Physical Sciences 1 (1935), 115-133. 21. William M. Whyburn, A connectedness theorem in abstract sets, Bull. Amer. Math. Soc. 41 (1935), 365-366. 22. William M. Whyburn, Raymond Garver, Nat. Math. Mag. 10 (1935), 72; List of articles and notes of the late Dr. Raymond Garver, ibid., 178-181. 23. William M. Whyburn, Raymond Joseph Garver–in Memoriam, Bull. Amer. Math. Soc. 42 (1936), 163. 24. William M. Whyburn, Complexes and manifolds represented by functions of real variables, Bull. Amer. Math. Soc. 42 (1936), 255-262.
- W. M. Whyburn, Over and under functions as related to differential equations, Amer. Math. Monthly 47 (1940), 1–10. MR 885, DOI 10.2307/2304050
- William M. Whyburn, Differential equations with general boundary conditions, Bull. Amer. Math. Soc. 48 (1942), 692–704. MR 7192, DOI 10.1090/S0002-9904-1942-07760-3 27. William M. Whyburn, The California subcommittee on mathematics, California J. Secondary Education 18 (1943), 292-293. 28. William M. Whyburn, Mathematics for production and war, Math. Teacher 36 (1943), 291 -295. 29. William M. Whyburn, (with P. H. Daus and J. W. Gleason), Basic mathematics for war and industry, Macmillan, New York, 1944.
- William M. Whyburn, Differential systems with general boundary conditions, Univ. California Publ. Math. (N.S.) 2 (1944), 45–61 [No. 1, Seminar Rep. in Math. (Los Angeles)]. MR 10226 31. William M. Whyburn, (with P. H. Daus), First year college mathematics with applications, Macmillan, New York, 1948. 32. William M. Whyburn, Productive use of mathematical teaching manpower, Highlights of the Ninth Annual Mathematical Institute, Duke University, Durham, N. C. 1949, pp. 13-17. 33. William M. Whyburn, Mathematics for the muddled, Highlights of the Twelfth Annual Mathematical Institute, Duke University, Durham, N. C., 1952, pp. 64-68.
- L. P. Burton and William M. Whyburn, Minimax solutions of ordinary differential systems, Proc. Amer. Math. Soc. 3 (1952), 794–803. MR 51385, DOI 10.1090/S0002-9939-1952-0051385-X
- A. K. Hinds and W. M. Whyburn, A non-self-adjoint differential system of the second order, J. Elisha Mitchell Sci. Soc. 68 (1952), 32–43. MR 51987 36. William M. Whyburn, Note on a non-self-adjoint differential system of the second order, J. Elisha Mitchell Scientific Soc. 69 (1953), 116-118. 37. William M. Whyburn, (with H. L. Morrison), Small caliber projectile penetration into brittle porous media, Meteoritics 1 (1954), 133-141. 38. William M. Whyburn, (with P. H. Daus), Algebra for college students, Prentice-Hall, Englewood Cliffs, N. J., 1955.
- William M. Whyburn, Differential systems with boundary conditions at more than two points, Proceedings of the conference on differential equations (dedicated to A. Weinstein), University of Maryland Book Store, College Park, Md., 1956, pp. 1–21. MR 0082002
- William M. Whyburn, A nonlinear boundary value problem for second order differential systems, Pacific J. Math. 5 (1955), 147–160. MR 69368
- T. J. Pignani and W. M. Whyburn, Differential systems with interface and general boundary conditions, J. Elisha Mitchell Sci. Soc. 72 (1956), 1–14. MR 79180
- William M. Whyburn, On a class of linear differential systems, Rev. Ci. (Lima) 60 (1958), 43–59. MR 125265
- William M. Whyburn, On a class of linear differential systems, Rev. Ci. (Lima) 60 (1958), 43–59. MR 125265 44. William M. Whyburn, Algebra with applications to business and economics, Addison-Wesley, Reading, Mass., 1961.
- William M. Whyburn and Richard K. Williams, Complexes of differential systems, J. Differential Equations 11 (1972), 299–306. MR 294752, DOI 10.1016/0022-0396(72)90046-0
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 1175-1183
- DOI: https://doi.org/10.1090/S0002-9904-1973-13369-5
- MathSciNet review: 0323507