William M. Whyburn 1901-1972

Author:
W. T. Reid

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

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**, 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**, 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**, 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**, 10.2307/1968263**8.**William M. Whyburn,*On Related Difference and Differential Systems*, Amer. J. Math.**51**(1929), no. 2, 265–286. MR**1506716**, 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**, 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**, 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**, 10.2307/2371140**19.**William M. Whyburn,*Matrix Differential Equations*, Amer. J. Math.**56**(1934), no. 1-4, 587–592. MR**1507045**, 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.**W. M. Whyburn,*Over and under functions as related to differential equations*, Amer. Math. Monthly**47**(1940), 1–10. MR**0000885****26.**William M. Whyburn,*Differential equations with general boundary conditions*, Bull. Amer. Math. Soc.**48**(1942), 692–704. MR**0007192**, 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.**30.**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**0010226****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.**L. P. Burton and William M. Whyburn,*Minimax solutions of ordinary differential systems*, Proc. Amer. Math. Soc.**3**(1952), 794–803. MR**0051385**, 10.1090/S0002-9939-1952-0051385-X**35.**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**0051987****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*, 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****40.**William M. Whyburn,*A nonlinear boundary value problem for second order differential systems*, Pacific J. Math.**5**(1955), 147–160. MR**0069368****41.**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**0079180****42.**William M. Whyburn,*On a class of linear differential systems*, Rev. Ci. (Lima)**60**(1958), 43–59. MR**0125265****43.**William M. Whyburn,*On a class of linear differential systems*, Rev. Ci. (Lima)**60**(1958), 43–59. MR**0125265****44.**William M. Whyburn,*Algebra with applications to business and economics*, Addison-Wesley, Reading, Mass., 1961.**45.**William M. Whyburn and Richard K. Williams,*Complexes of differential systems*, J. Differential Equations**11**(1972), 299–306. MR**0294752**

Additional Information

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