William M. Whyburn 1901-1972

Author:
W. T. Reid

Journal:
Bull. Amer. Math. Soc. **79** (1973), 1175-1183

DOI:
https://doi.org/10.1090/S0002-9904-1973-13369-5

MathSciNet review:
0323507

Full-text PDF

References | Additional Information

**1.**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**, https://doi.org/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.**5.**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**, https://doi.org/10.1090/S0002-9947-1928-1501451-5**6.**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**, https://doi.org/10.1090/S0002-9947-1928-1501463-1**7.**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**, https://doi.org/10.2307/1968263**8.**William M. Whyburn,*On Related Difference and Differential Systems*, Amer. J. Math.**51**(1929), no. 2, 265–286. MR**1506716**, https://doi.org/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.**11.**William M. Whyburn,*On Self-Adjoint Ordinary Differential Equations of the Fourth Order*, Amer. J. Math.**52**(1930), no. 1, 171–196. MR**1506751**, https://doi.org/10.2307/2370655**12.**William M. Whyburn,*Functional properties of the solutions of differential systems*, Trans. Amer. Math. Soc.**32**(1930), no. 3, 502–508. MR**1501548**, https://doi.org/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.**18.**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**, https://doi.org/10.2307/2371140**19.**William M. Whyburn,*Matrix Differential Equations*, Amer. J. Math.**56**(1934), no. 1-4, 587–592. MR**1507045**, https://doi.org/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.**25.**William M. Whyburn,*Over and under functions as related to differential equations*, Amer. Math. Monthly 47 (1940), 1-10. MR**885****26.**William M. Whyburn,*Differential equations with general boundary conditions*, Bull. Amer. Math. Soc. 48 (1942), 692-704. MR**7192****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.**30.**William M. Whyburn,*Differential systems with general boundary conditions*, Seminar Reports in Math., (Los Angeles) Univ. Calif. Publ. Math. 2 (1944), 45-61. 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.**34.**William M. Whyburn, (with L. P. Burton),*Minimax solutions of ordinary differential equations*, Proc. Amer. Math. Soc. 3 (1952), 794-803. MR**51385****35.**William M. Whyburn, (with A. K. Hinds),*A non-self-adjoint differential system of the second order*, J. Elisha Mitchell Scientific 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.**39.**William M. Whyburn,*Differential systems with boundary conditions at more than two points*, Proc. Conference on Differential Equations, University of Maryland, College Park, Md., 1955, pp. 1-21. MR**82002****40.**William M. Whyburn,*A non-linear boundary value problem for second order differential systems*, Pacific J. Math. 5 (1955), 147-160. MR**69368****41.**William M. Whyburn, (with T. J. Pignani),*Differential equations with interface and general boundary conditions*, J. Elisha Mitchell Scientific Soc. 72 (1956), 1-14. MR**79180****42.**William M. Whyburn,*On a class of linear differential systems*, Rev. Ci. (Lima) 60 (1958), 43-59. MR**125265****43.**William M. Whyburn, (with P. H. Daus),*Introduction to mathematical analysis, with applications to problems of economics*, Addison-Wesley, Reading, Mass., 1958. MR**125265****44.**William M. Whyburn,*Algebra with applications to business and economics*, Addison-Wesley, Reading, Mass., 1961.**45.**William M. Whyburn, (with R. K. Williams),*Complexes of differential systems*, J. Differential Equations 11 (1972), 299-306. MR**294752**

Additional Information

DOI:
https://doi.org/10.1090/S0002-9904-1973-13369-5