×
Schrader, Keith W.

Differential inequalities for second and third order equations. (English) Zbl 0331.34013

J. Differ. Equations 25, 203-215 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0331.34013

Cited in 3 Documents

MSC:

34A40 Differential inequalities involving functions of a single real variable
34B15 Nonlinear boundary value problems for ordinary differential equations
Cite Review PDF
Full Text: DOI

References:

[1] Ako, K.: Subfunctions for ordinary differential equations. J. fac. Sci. univ. Tokyo 12, 17-43 (1965) · Zbl 0136.08002
[2] Ako, K.: Subfunctions for ordinary differential equations II. Funkcial. ekvac. 10, 145-162 (1967)
[3] Ako, K.: Subfunctions for ordinary differential equations III. Funkcial. ekvac. 11, 111-129 (1968) · Zbl 0224.34015
[4] Ako, K.: Subfunctions for ordinary differential equations IV. Funkcial. ekvac. 11, 185-195 (1969) · Zbl 0193.04801
[5] Ako, K.: Subfunctions for ordinary differential equations V. Funkcial. ekvac. 12, 239-249 (1969) · Zbl 0215.44001
[6] Ako, K.: Subfunctions for ordinary differential equations VI. J. fac. Sci. univ. Tokyo 16, 149-156 (1969) · Zbl 0215.44002
[7] Bebernes, J. W.: A subfunction approach to boundary: value problems for ordinary differential equations. Pacific J. Math. 13, 1053-1066 (1963) · Zbl 0126.29701
[8] Bebernes, J.; Ingram, S.: Existence and non-existence of maximal solutions for y” = \(f(x, y, y')\). Ann. polon. Math. 25, 125-138 (1971) · Zbl 0262.34002
[9] Bebernes, J. W.; Jackson, L.: Infinite interval boundary value problems for y” = \(f(x, y)\). Duke math. J. 34, 39-48 (1967) · Zbl 0145.33102
[10] Bernfeld, S.; Lakshmikantham, V.: An introduction to nonlinear boundary value problems. (1974) · Zbl 0286.34018
[11] Carmignani, R.; Schrader, K.: Subfunctions and distributional inequalities. SIAM J. Math. anal. 8, 52-68 (1977) · Zbl 0358.34015
[12] Erbe, L.: Nonlinear boundary value problems for second order differential equations. J. differential equations 7, 459-472 (1970) · Zbl 0284.34017
[13] Fountain, L.; Jackson, L.: A generalized solution of the boundary value problem for y” = \(f(x, y, y')\). Pacific J. Math. 12, 1251-1272 (1962) · Zbl 0112.05602
[14] Grimm, L. J.; Schmitt, K.: Boundary value problems for differential equations with deviating arguments. Aequatians math. 4, 176-190 (1970) · Zbl 0198.13201
[15] Gudkov, V.: A boundary value prpblem for a second-order ordinary differential equation (in russian). Latviskii matematicekii ezegodnik 10, 15-31 (1972)
[16] Gudkov, V.: A remark concerning a boundary value problem. Differential equations 9, 868-870 (1973) · Zbl 0304.34017
[17] Gudkov, V.; Lepin, A.: Necessary and sufficient conditions for existence of a solution of a two-point boundary value problem for ordinary differential equations of the second order with noncontinuous right side (in russian). Latviskii mathematicekii ezegodnik 8, 69-92 (1970)
[18] Gudkov, V.; Lepin, A.: On necessary and sufficient conditions for the solvability of certain boundary-value problems for a second-order ordinary differential equation. Soviet math. 14, 800-803 (1973) · Zbl 0289.34022
[19] Gudkov, V.; Lepin, A.: On solutions of nonlinear boundary value problems for ordinary differential equations of second order (in russian). Differential equations 7, 1779-1788 (1971)
[20] Gudkov, V.; Lepin, A.: The necessary and sufficient conditions for existence of the solutions of some boundary value problems for ordinary differential equations of the second order with noncontinuous right side (in russian). Latviskii matematicekii ezegodnik 9, 47-72 (1971)
[21] Gudkov, V.; Lepin, A.: The solvability of a boundary-value problem. Differential equations 9, 168-173 (1973) · Zbl 0316.34015
[22] Gudkov, V.; Lepin, A.: The solvability of certain boundary-value problems for ordinary second-order differential equations. Differential equations 7, 1349-1356 (1971) · Zbl 0285.34010
[23] Hartman, P.: Ordinary differential equations. (1964) · Zbl 0125.32102
[24] Jackson, L.: Subfunctions and second order differential inequalities. Advances in math. 2, 307-363 (1968) · Zbl 0197.06401
[25] Jackson, L.; Schrader, K.: Comparison theorems for nonlinear differential equations. J. differential equations 3, 248-255 (1967) · Zbl 0149.29701
[26] Jackson, L.; Schrader, K.: Existence and uniqueness of solutions of boundary value problems for third order differential equations. J. differential equations 9, 46-54 (1971) · Zbl 0206.37601
[27] Jackson, L.; Schrader, K.: Subfunctions and third order differential inequalities. J. differential equations 8, 180-194 (1970) · Zbl 0194.40902
[28] Kalikov, E. G.: The existence of bounded solutions of a differential equation of the second order. Differential equations 2, 865-866 (1966)
[29] Klassen, G.: Differential inequalities and existence theorems for second and third order boundary value problems. J. differential equations 10, 529-537 (1971) · Zbl 0211.40001
[30] Knobloch, H.: Comparison theorems for nonlinear second order differential equations. J. differential equations 1, 1-26 (1965) · Zbl 0134.07005
[31] Lepin, A.: Necessary and sufficient conditions for the existence of a solution of a two point boundary-value problem for a second-order nonlinear ordinary differential equation. Differential equations 6, 1384-1388 (1970)
[32] Muldowney, J. S.; Willett, D.: An intermediate value property for operators with applications to integral and differential equations. Canad. J. Math. 26, 27-41 (1974) · Zbl 0275.47018
[33] Nagumo, M.: Über die differentialgleichung y” = \(f(x, y, y')\). Proc. phys.-math. Soc. Japan (Ser. 3) 19, 861-866 (1937) · JFM 63.1021.04
[34] Schmitt, K.: A nonlinear boundary value problem. J. differential equations 7, 527-537 (1970) · Zbl 0198.12301
[35] Schmitt, K.: A note on periodic solutions of second order ordinary differential equations. SIAM J. Appl. math. 21, 491-494 (1971) · Zbl 0238.34073
[36] Schmitt, K.: Boundary value problems and comparison theorems for ordinary differential equations. SIAM J. Appl. math. 26, 670-678 (1974) · Zbl 0279.34027
[37] Schmitt, K.: Boundary value problems for nonlinear second order differential equations. Monatsch. math. 72, 347-354 (1968) · Zbl 0162.11502
[38] Schmitt, K.: Bounded solutions of nonlinear second order differential equations. Duke math. J. 36, 237-243 (1969) · Zbl 0182.12001
[39] Schmitt, K.: Periodic solutions of nonlinear second order differential equations. Math. Z. 98, 200-207 (1967) · Zbl 0153.12501
[40] Schrader, K.: A note on second order differential inequalities. Proc. amer. Math. soc. 19, 1007-1012 (1968) · Zbl 0164.39404
[41] Schrader, K.: Boundary-value problems for second-order ordinary differential, equations. J. differential equations 3, 403-413 (1967) · Zbl 0152.28401
[42] Schrader, K.: Existence theorems for second order boundary value problems. J. differential equations 5, 572-584 (1969) · Zbl 0172.11302
[43] Schrader, K.: Second and third order boundary value problems. Proc. amer. Math. soc. 32, 247-252 (1972) · Zbl 0212.11303
[44] Schrader, K.: Solutions of second order ordinary differential equations. J. differential equations 4, 510-518 (1968) · Zbl 0174.13503
[45] Umamaheswaram, S.: Boundary value problems for higher order differential equations. J. differential equations 18, 188-201 (1975) · Zbl 0274.34016
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.