Third order differential equations with integral boundary conditions

Nonlinear Analysis, Theory, Methods and Applications

Volumn 71, Issue 12, 2009, Pages

  Boucherif, Abdelkader ^a   Bouguima, Sidi Mohamed ^b   Al Malki, Nawal ^c   Benbouziane, Zehour ^b  

^a BROWN UNIVERSITY   (United States)

^b UNIVERSITY OF TLEMCEN   (Algeria)

^c IMAM ABDULRAHMAN BIN FAISAL UNIVERSITY   (Saudi Arabia)

Author keywords

A priori bound on solutions; Fixed point theorems; Integral boundary conditions; Third order differential equations

Indexed keywords

A PRIORI BOUND ON SOLUTIONS; APRIORI; FIXED POINT THEOREMS; INTEGRAL BOUNDARY CONDITIONS; THIRD ORDER DIFFERENTIAL EQUATIONS;

CONTROL NONLINEARITIES; NONLINEAR EQUATIONS;

BOUNDARY CONDITIONS;

EID: 72449148297     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.02.055     Document Type: Article

References (13)

1. Aftabizadeh A., Gupta C.P., and Xu J. Existence and uniqueness theorems for three-point boundary value problems. SIAM J. Math. Anal. 20 3 (1989) 716-726
2. Aftabizadeh A., and Deimling K. A three-point nonlinear boundary value problem. Differ. Integral Equ. 4 1 (1991) 189-194
3. Bernis F., and Peletier L.A. Two problems from draining flows involving third-order ordinary differential equations. SIAM J. Math. Anal. 27 (1996) 515-527
4. Mehri B., and Niksirat M.A. On the existence of periodic solutions for certain differential equations. J. Comput. Appl. Math. 174 (2005) 239-249
5. Boucherif A., and Al-Malki N. Nonlinear three-point third order boundary value problems. Appl. Math. Comput. 190 (2007) 1168-1177
6. Minhós F.M. On some third order nonlinear boundary value problems: Existence, location and multiplicity results. J. Math. Anal. Appl. 339 (2008) 1342-1353
7. Belarbi A., and Benchohra M. Existence results for nonlinear boundary value problems with integral boundary conditions. Electron. J. Differential Equations 06 (2005) 10
8. Brykalov S.A. A second order nonlinear problem with two-point and integral boundary conditions. Proc. Georgian Acad. Sci. Math. 1 (1993) 273-279
9. Benbouziane Z.N., Boucherif A., and Bouguima S.M. Third order nonlocal multipoint boundary value problems. Dynam. Systems Appl. 13 (2004) 41-48
10. Gray M. Uniqueness implies uniqueness for nonlocal boundary value problems for third order ordinary differential equations. Dynam. Systems Appl. 16 (2007) 277-284
11. Wang Y., and Ge W. Existence of solutions for a third order differential equation with integral boundary conditions. Comput. Math. Appl. 53 (2007) 144-154
12. O'Regan D. Fixed point theory for the sum of two operators. Appl. Math. Lett. 9 (1996) 1-8
13. Boucherif A. Second order boundary value problems with integral boundary conditions. Nonlinear Anal. 70 (2009) 364-371