| Title:
|
Periodic solutions of the third order parametric differential equations involving large nonlinearities (English) |
| Author:
|
Andres, Jan |
| Author:
|
Vlček, Vladimír |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
337-349 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A34 |
| MSC:
|
34C25 |
| MSC:
|
34D20 |
| idZBL:
|
Zbl 0753.34025 |
| idMR:
|
MR1149042 |
| . |
| Date available:
|
2009-09-25T10:33:22Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136536 |
| . |
| Reference:
|
[1] VILLARI G.: Criteri di esistenza di soluzioni periodiche per particolari classi di equazioni differenziali del terz' ordine non lineari.Matematiche (Catania) 19 (1964), 96-113. Zbl 0128.08702, MR 0173833 |
| Reference:
|
[2] VILLARI G.: Contributi alio studio dell' esistenza di soluzioni periodiche per i sistemi di equazioni differenziali ordinarie.Ann. Mat. Pura Appl. 69 (1965), 171-190. MR 0190452 |
| Reference:
|
[3] REISSIG R., SANSONE G., CONTI R.: Nichtlineare Differentialgleichungen höherer Ordnung.Cremonese, Roma, 1969. Zbl 0172.10801, MR 0241749 |
| Reference:
|
[4] EZEILO J. O. C : A further result on the existence of periodic solutions on the equation x"' + ax" + bx' + h(x) = p(t, x, x', x").Math. Proc. Camb. Philos. Soc. 77 (1975), 547-551. MR 0361285 |
| Reference:
|
[5] EZEILO J. O. C.: Further results on the existence of periodic solutions of a certain third order differential equation.Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 64 (1978), 48-58. Zbl 0405.34042, MR 0542152 |
| Reference:
|
[6] EZEILO J. O. C.: Periodic solutions of third-order differential equations in the past twenty five years or so.In: Invited paper presented at the 2nd Pan-African Congress of the African Mathematical Union, 23-29 March 1986, University of Jos, Nigeria. |
| Reference:
|
[7] KONSTANTINOV M. S.: Existence of periodic solutions of certain differential equation.(Russian), Differ. Uravn., Sb. Tr. Mat. Kafedr Pedinst. RSFSR 9 (1977), 48-56. MR 0486815 |
| Reference:
|
[8] KONSTANTINOV M. S.: On a third order equation.(Russian), Differ. Uravn., Sb. Tr. Mat. Kafedr Pedinst. RSFSR 11 (1978), 93-99. MR 0512943 |
| Reference:
|
[9] KONSTANTINOV M. S.: Some sufficient conditions for existence of periodic and bounded solutions of the equation x'" + ax' + g(x') + cx = Ψ(t, x, x',x").(Russian), In: Diff. Urav. Qualitative Theory, ed I. P. Makarov. Rjazan. Gos. Ped. Inst., Rjazan, 1984, pp. 92-100. MR 0843088 |
| Reference:
|
[10] ANDRES J., VORÁČEK J.: Periodic solutions to a nonlinear parametric differential equation of the third order.Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 77 (1984), 81-86. Zbl 0607.34039, MR 0884940 |
| Reference:
|
[11] MEHRI B.: On the existence of periodic solutions for certain nonlinear differential equation.Rev. Roum. Math. Pures Appl. 23 (1978), 1367-1373. MR 0522593 |
| Reference:
|
[12] ANDRES J.: Periodic boundary value problems for certain nonlinear differential equations of the third order.Math. Slovaca 35 (1985), 305-309. MR 0808366 |
| Reference:
|
[13] EZEILO J. O. C., ONYA J.: Non-resonant oscillations for third-order differential equations.J. Nig. Math. Soc. 3 (1984), 83-96. |
| Reference:
|
[14] EZEILO J. O. C., NKASHAMA M. N.: Non-uniform non-resonance and existence of periodic solutions of some third order non-linear ordinary differential equations.Nonlinear Anal., Theory Methods Appl. 12 (1988), 1029-1046. |
| Reference:
|
[15] EZEILO J. O. C., OMARI P.: Non-resonant oscillations for some third-order differential equations II.In: ICTP, Trieste IC/87/374 (1987). |
| Reference:
|
[16] FONDA A., HABETS P.: Periodic solutions of asymptotically positively homogeneous differential equations.Rapp., Semin. Math. Appl. Mec, Univ. Cathol. Louvain No. 130 (1988). MR 1012200 |
| Reference:
|
[17] AFUWAPE A. U., OMARI P., ZANOLIN F.: Nonlinear perturbations of differential operators with nontrivial kernel and applications to third order periodic boundary value problems.J. Math. Anal. Appl. 143 (1989), 35-56. MR 1019448 |
| Reference:
|
[18] AFTABIZADEH A. R., XU J.-M., GUPTA C. P.: Periodic boundary value problems for third order ordinary differential equations.Nonlinear Anal., Theory Methods Appl. 14 (1990), 1-10. Zbl 0706.34018, MR 1028242 |
| Reference:
|
[19] BEBERNES J., GAINES R., SCHMITT K.: Existence of periodic solutions for third and fourth order ordinary differential equations via coincidence degree.Ann. Soc. Sci. Brux., Ser. I (T) 88 (1974), 25-36. Zbl 0695.47044, MR 0340729 |
| Reference:
|
[20] KONSTANTINOV M. S.: Some sufficient conditions for the existence of periodic solutions of third order nonlinear differential equations.(Russian), Differ. Uravn., Sb. Tr. Mat. Kafedr Pedinst. RSFSR 9 (1977), 57-61. MR 0460802 |
| . |
