| Title:
|
On a boundary value problem for $x'''=f(t,x,x',x'')$ (English) |
| Title:
|
O jisté okrajové úloze pro $x'''=f(t,x,x',x'')$ (Czech) |
| Author:
|
Andres, Ján |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
289-298 |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 0712.34032 |
| idMR:
|
MR1039896 |
| . |
| Date available:
|
2009-01-29T15:34:19Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120199 |
| . |
| Reference:
|
[1] Agarwal R. P.: Nonlinear two point boundary value problems.Ind. J. Pure Appl. Math. 4, 1973, 757-759. MR 0369787 |
| Reference:
|
[2] AgarwaL R. P.: Two-point problems for non-linear third order differential equations.J. Math. Phys. Sci.8, 1974, 571-576. Zbl 0297.34013, MR 0430380 |
| Reference:
|
[3] Agarwal R. P., Krishnamoorty P. R.: On the uniqueness of solutions of nonlinear boundary value problems.Ibid. 10, 1, 1976, 17-31. |
| Reference:
|
[4] AgarwaL R. P.: Improved error bounds for the Picard iterates.Ibid. 12, 1, 1978, 45-48. Zbl 0388.34009, MR 0488773 |
| Reference:
|
[5] AgarwaL R. P., Krishnamoorty P. R.: Existence and uniqueness of solutions of boundary value problems for third order "nonlinear differential equations.Proceed. Ind. Acad. Sci. 88A, 2, 1979, 105-113. MR 0548973 |
| Reference:
|
[6] Agarwal R. P.: On the boundary value problems for $y''' = f(x,y,y',y'')$.Bull. Inst.-Math. Acad. Sinicә 12, 1984, 153-157. MR 0765109 |
| Reference:
|
[7] Andres J.: Higher kind periodic orbits.Acta UPO 88, Phys. 26, 1987 (in print). |
| Reference:
|
[8] Barr D., Sherman T.: Existence and uniqueness of solutions of three-point boundary value problems.J. Diff. Eqs. 1З, 1973, 197-212. Zbl 0261.34014, MR 0333326 |
| Reference:
|
[9] Bebernes D., Gaines R., Schmitt K.: Existence of periodic solutions for third and fourth order ordinary differential equations via coincidence degree.Ann. Soc. Sci. Bruxelles 1, 88, 1974, 25-36. Zbl 0286.34056, MR 0340729 |
| Reference:
|
[10] Bespalova S. A., Klokov, Yu. A.: A three-point boundary value problem for a nonlinear third order ordinary differential equtions.(in Russian), Diff. Urav. 12, 6, 1976, 963-970. MR 0425230 |
| Reference:
|
[11] Caristi G.: A three-point boundary value problem for a third order differential equation.B.U.M.I. C4, 1, 1985, 259-269. Zbl 0591.34013, MR 0805218 |
| Reference:
|
[12] Das K. M., Lalli B. S.: Boundary value problems for $y''' = f(x,y,y',y'')$.J. Diff. Eqs. 81, 1981, 300-307. Zbl 0465.34012, MR 0622819 |
| Reference:
|
[13] Goecke D. M., Henderson J.: Uniqueness of solutions of right focal problems for third order differential equations.Nonlin.Anal. 8, 3, 1984, 253-259. Zbl 0534.34024, MR 0738010 |
| Reference:
|
[14] Hamedani G. G., Mehri B.: Boundary values problems for certain non-linear third order differential equations.Rev. Roum. Math. Pures Appl. 22, 3, 1977, 315-319. MR 0454130 |
| Reference:
|
[15] Henderson J.: Existence and uniqueness of solutions of right focal point boundary value problems for third and fourth order equations.Rocky Mount. J. 14, 2, 1984, 487-497. Zbl 0542.34014, MR 0747295 |
| Reference:
|
[16] Jackson L., Schrader K.: Subfunctions and third order differential inequalities.J. Diff. Eqs. 8, 1970, 180-194. Zbl 0194.40902, MR 0257525 |
| Reference:
|
[17] Jackson L., Schrader K.: Existence and uniqueness of boundary value problems for third order differéntial equations.Ibid. 9, 1971, 46-54. MR 0269920 |
| Reference:
|
[18] Jackson L.: Existence and uniqueness of solutions of boundary value problems for third order differential equations.Ibid. 13, 1973, 432-437. Zbl 0256.34018, MR 0335925 |
| Reference:
|
[19] Jackson L.: Existence and uniqueness of solutions of boundary value problems for Lipschitz equations.Ibid. 32, 1, 1979, 76-90. Zbl 0407.34018, MR 0532764 |
| Reference:
|
[20] Kiguradze I. T.: Some singular boundary value problems for ordinary differential equations.(in Russian). Izdat. Tbil. Univ., Tbilisi 1975, pp.201-209. MR 0499402 |
| Reference:
|
[21] Klaasen G.: Differential inequalities and existence theorems for second and third order boundary value problems.J. Diff. Eqs. 10, 1971, 529-537. Zbl 0218.34024, MR 0288397 |
| Reference:
|
[22] Klokov, Yu., Pospelov L. N.: Conditions for a priori boundedness of solutions of boundary value problems for third order equations.(in Russian). Diff. Urav. (Rjazan) 9, 1977, 48-56. |
| Reference:
|
[23] Konstantinov M. S.: Existence of periodic solutions to some differential equation.(in Russian). Diff. Urav. (Rjazan) 9, 1977, 48-56. MR 0486815 |
| Reference:
|
[24] Lepina E. I., Lepin A. Ya.: Existence of a solution of a three-point boundary value problem for a third order ordinary differential equation.(in Rus- sian). Latv. Math. Yearbook 4, Izdat. Zinatne, Riga 1968, 247-256. MR 0239174 |
| Reference:
|
[25] Mawhin J.: Topological degree methods in nonlinear boundary value problems.CBMS Reg. Conf. Math. 40, AMS, Providence 1979. Zbl 0414.34025, MR 0525202 |
| Reference:
|
[26] Mehri B.: Boundary value problem for certain non-linear third order differential equations.Rev. Roum. Math. Pures Appl. 19, 1974, 773-776. Zbl 0292.34017, MR 0357945 |
| Reference:
|
[27] Murthy K. N., Rao D. R. K. S.: On the existence and uniqueness of solutions of two and three-point boundary value problems.Bull. Calcutta Math. Soc. 73, 3, 1981, 165-172. MR 0669619 |
| Reference:
|
[28] Pospelov L. N.: Necessary and sufficient conditions for the existance of a solution of a certain boundary value problems for a third order nonlinear ordinary differential equations.(in Russian). Latv. Math. Yearbook 8, Izdat. Zinatne, Riga 1970, 205-212. MR 0279375 |
| Reference:
|
[29] Pospelov L. N.: A certain estimate of the solutions of a third order equation.(in Russian). Ibid. 12, 1973, 135-140. MR 0357947 |
| Reference:
|
[З0] Pospelov L. N.: The uniqueness of solutions of certain boundary value problems for third order differential equations.(in Russian). Ibid. 14, 1974, 177- 186. MR 0361252 |
| Reference:
|
[З1] Rusnák J.: A three-point boundary value problem for third order differential equations.Math. Slovaca 13, 3, 1983, 307-320. MR 0713954 |
| Reference:
|
[32] Schrader K.: Second and third order boundary value problems.Proceed. Amer. Math. Soc. 32, 1972, 247-252. Zbl 0212.11303, MR 0291548 |
| . |
