William M. Whyburn 19011972
Author:
W. T. Reid
Journal:
Bull. Amer. Math. Soc. 79 (1973), 11751183
MathSciNet review:
0323507
Fulltext 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. 12, 125–130. MR
1502681, http://dx.doi.org/10.2307/1967748
 2.
William M. Whyburn, On the Green's function for systems of differential equations, Ann. of Math. 28 (1927), 291300.
 3.
William M. Whyburn, On the polynomial convergents of power series, Bull. Amer. Math. Soc. 33 (1927), 673676.
 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, Secondorder differential systems with
integral and 𝑘point boundary conditions, Trans. Amer. Math. Soc. 30 (1928), no. 4, 630–640. MR
1501451, http://dx.doi.org/10.1090/S00029947192815014515
 6.
William
M. Whyburn, Existence and oscillation theorems for
nonlinear differential systems of the second order, Trans. Amer. Math. Soc. 30 (1928), no. 4, 848–854. MR
1501463, http://dx.doi.org/10.1090/S00029947192815014631
 7.
William
M. Whyburn, On the fundamental existence theorems for differential
systems, Ann. of Math. (2) 30 (1928/29),
no. 14, 31–38. MR
1502865, http://dx.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, http://dx.doi.org/10.2307/2370709
 9.
William M. Whyburn, Nonisolated critical points of functions, Bull. Amer. Math. Soc. 35 (1929), 701708.
 10.
William M. Whyburn, On related difference and differential systems, Bull. Amer. Math. Soc. 36 (1930), 9498.
 11.
William
M. Whyburn, On SelfAdjoint Ordinary Differential Equations of the
Fourth Order, Amer. J. Math. 52 (1930), no. 1,
171–196. MR
1506751, http://dx.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, http://dx.doi.org/10.1090/S00029947193015015489
 13.
William M. Whyburn, A set of cyclically related functional equations, Bull. Amer. Math. Soc. 36 (1930), 863868.
 14.
William M. Whyburn, Functional inequalities, Tôhoku Math. J. 33 (1931), 265274.
 15.
William M. Whyburn, A proof of the identity of the Riesz integral and the Lebesgue integral, Bull. Amer. Math. Soc. 37 (1931), 561564.
 16.
William M. Whyburn, On the integration of unbounded functions, Bull. Amer. Math. Soc. 38 (1932), 123131.
 17.
William M. Whyburn, Generalized Riccati differential equations, Tôhoku Math. J. 38 (1933), 447450.
 18.
E.
R. Hedrick and W.
M. Whyburn, An Application of the Dedekind Cut Notion to
Integration, Amer. J. Math. 55 (1933), no. 14,
390–398. MR
1506974, http://dx.doi.org/10.2307/2371140
 19.
William
M. Whyburn, Matrix Differential Equations, Amer. J. Math.
56 (1934), no. 14, 587–592. MR
1507045, http://dx.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), 115133.
 21.
William M. Whyburn, A connectedness theorem in abstract sets, Bull. Amer. Math. Soc. 41 (1935), 365366.
 22.
William M. Whyburn, Raymond Garver, Nat. Math. Mag. 10 (1935), 72; List of articles and notes of the late Dr. Raymond Garver, ibid., 178181.
 23.
William M. Whyburn, Raymond Joseph Garverin 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), 255262.
 25.
W.
M. Whyburn, Over and under functions as related to differential
equations, Amer. Math. Monthly 47 (1940), 1–10.
MR
0000885 (1,144d)
 26.
William
M. Whyburn, Differential equations with general
boundary conditions, Bull. Amer. Math. Soc.
48 (1942),
692–704. MR 0007192
(4,100b), http://dx.doi.org/10.1090/S000299041942077603
 27.
William M. Whyburn, The California subcommittee on mathematics, California J. Secondary Education 18 (1943), 292293.
 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
(5,265a)
 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. 1317.
 33.
William M. Whyburn, Mathematics for the muddled, Highlights of the Twelfth Annual Mathematical Institute, Duke University, Durham, N. C., 1952, pp. 6468.
 34.
L.
P. Burton and William
M. Whyburn, Minimax solutions of ordinary
differential systems, Proc. Amer. Math.
Soc. 3 (1952),
794–803. MR 0051385
(14,470i), http://dx.doi.org/10.1090/S0002993919520051385X
 35.
A.
K. Hinds and W.
M. Whyburn, A nonselfadjoint differential system of the second
order, J. Elisha Mitchell Sci. Soc. 68 (1952),
32–43. MR
0051987 (14,556g)
 36.
William M. Whyburn, Note on a nonselfadjoint differential system of the second order, J. Elisha Mitchell Scientific Soc. 69 (1953), 116118.
 37.
William M. Whyburn, (with H. L. Morrison), Small caliber projectile penetration into brittle porous media, Meteoritics 1 (1954), 133141.
 38.
William M. Whyburn, (with P. H. Daus), Algebra for college students, PrenticeHall, 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
(18,481f)
 40.
William
M. Whyburn, A nonlinear boundary value problem for second order
differential systems, Pacific J. Math. 5 (1955),
147–160. MR 0069368
(16,1027d)
 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
(18,42e)
 42.
William
M. Whyburn, On a class of linear differential systems, Rev.
Ci. (Lima) 60 (1958), 43–59. MR 0125265
(23 #A2568)
 43.
William
M. Whyburn, On a class of linear differential systems, Rev.
Ci. (Lima) 60 (1958), 43–59. MR 0125265
(23 #A2568)
 44.
William M. Whyburn, Algebra with applications to business and economics, AddisonWesley, Reading, Mass., 1961.
 45.
William
M. Whyburn and Richard
K. Williams, Complexes of differential systems, J.
Differential Equations 11 (1972), 299–306. MR 0294752
(45 #3820)
 1.
 William M. Whyburn, An extension of the definition of the Green's function in one dimension, Ann. of Math. 26 (1924), 125130. MR 1502681
 2.
 William M. Whyburn, On the Green's function for systems of differential equations, Ann. of Math. 28 (1927), 291300.
 3.
 William M. Whyburn, On the polynomial convergents of power series, Bull. Amer. Math. Soc. 33 (1927), 673676.
 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 kpoint boundary conditions, Trans. Amer. Math. Soc. 30 (1928), 630640. MR 1501451
 6.
 William M. Whyburn, Existence and oscillation theorems for nonlinear differential systems of the second order, Trans. Amer. Math. Soc. 30 (1928), 848854. MR 1501463
 7.
 William M. Whyburn, On the fundamental existence theorems for differential systems, Ann. of Math. 30(1928), 3138. MR 1502865
 8.
 William M. Whyburn, On related difference and differential systems, Amer. J. Math. 51 (1929), 265286. MR 1506716
 9.
 William M. Whyburn, Nonisolated critical points of functions, Bull. Amer. Math. Soc. 35 (1929), 701708.
 10.
 William M. Whyburn, On related difference and differential systems, Bull. Amer. Math. Soc. 36 (1930), 9498.
 11.
 William M. Whyburn, On selfadjoint ordinary differential equations of the fourth order, Amer. J. Math. 52 (1930), 171196. MR 1506751
 12.
 William M. Whyburn, Functional properties of the solutions of differential systems, Trans. Amer. Math. Soc. 32 (1930), 502508. MR 1501548
 13.
 William M. Whyburn, A set of cyclically related functional equations, Bull. Amer. Math. Soc. 36 (1930), 863868.
 14.
 William M. Whyburn, Functional inequalities, Tôhoku Math. J. 33 (1931), 265274.
 15.
 William M. Whyburn, A proof of the identity of the Riesz integral and the Lebesgue integral, Bull. Amer. Math. Soc. 37 (1931), 561564.
 16.
 William M. Whyburn, On the integration of unbounded functions, Bull. Amer. Math. Soc. 38 (1932), 123131.
 17.
 William M. Whyburn, Generalized Riccati differential equations, Tôhoku Math. J. 38 (1933), 447450.
 18.
 William M. Whyburn, (with E. R. Hedrick), An application of the Dedekind cut notion to integration, Amer. J. Math. 55 (1933), 390398. MR 1506974
 19.
 William M. Whyburn, Matrix differential equations, Amer. J. Math. 56 (1934), 587592. MR 1507045
 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), 115133.
 21.
 William M. Whyburn, A connectedness theorem in abstract sets, Bull. Amer. Math. Soc. 41 (1935), 365366.
 22.
 William M. Whyburn, Raymond Garver, Nat. Math. Mag. 10 (1935), 72; List of articles and notes of the late Dr. Raymond Garver, ibid., 178181.
 23.
 William M. Whyburn, Raymond Joseph Garverin 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), 255262.
 25.
 William M. Whyburn, Over and under functions as related to differential equations, Amer. Math. Monthly 47 (1940), 110. MR 885
 26.
 William M. Whyburn, Differential equations with general boundary conditions, Bull. Amer. Math. Soc. 48 (1942), 692704. MR 7192
 27.
 William M. Whyburn, The California subcommittee on mathematics, California J. Secondary Education 18 (1943), 292293.
 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), 4561. 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. 1317.
 33.
 William M. Whyburn, Mathematics for the muddled, Highlights of the Twelfth Annual Mathematical Institute, Duke University, Durham, N. C., 1952, pp. 6468.
 34.
 William M. Whyburn, (with L. P. Burton), Minimax solutions of ordinary differential equations, Proc. Amer. Math. Soc. 3 (1952), 794803. MR 51385
 35.
 William M. Whyburn, (with A. K. Hinds), A nonselfadjoint differential system of the second order, J. Elisha Mitchell Scientific Soc. 68 (1952), 3243. MR 51987
 36.
 William M. Whyburn, Note on a nonselfadjoint differential system of the second order, J. Elisha Mitchell Scientific Soc. 69 (1953), 116118.
 37.
 William M. Whyburn, (with H. L. Morrison), Small caliber projectile penetration into brittle porous media, Meteoritics 1 (1954), 133141.
 38.
 William M. Whyburn, (with P. H. Daus), Algebra for college students, PrenticeHall, 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. 121. MR 82002
 40.
 William M. Whyburn, A nonlinear boundary value problem for second order differential systems, Pacific J. Math. 5 (1955), 147160. 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), 114. MR 79180
 42.
 William M. Whyburn, On a class of linear differential systems, Rev. Ci. (Lima) 60 (1958), 4359. MR 125265
 43.
 William M. Whyburn, (with P. H. Daus), Introduction to mathematical analysis, with applications to problems of economics, AddisonWesley, Reading, Mass., 1958. MR 125265
 44.
 William M. Whyburn, Algebra with applications to business and economics, AddisonWesley, Reading, Mass., 1961.
 45.
 William M. Whyburn, (with R. K. Williams), Complexes of differential systems, J. Differential Equations 11 (1972), 299306. MR 294752
Additional Information
DOI:
http://dx.doi.org/10.1090/S000299041973133695
PII:
S 00029904(1973)133695
