A nonlinear three-point boundary value problem, Ph.D Thesis Brown University, June 1979
University Microfilm International, Ann Arbor , Michigan 1980
[1] H. Akca, A. Boucherif and V. Covachev, Editors
Proc-2004 Dynamic Systems and Applications ,Antalya, Turkey, 5-10 July 2004
GBS Publishers & Distributors,India, December 2004
[1] A. Boucherif, Nonlinear three-point boundary value problems, J.Math. Anal. Appl. Vol.77 No.2
(1980), 577-600 (MR 82a:34013)
[2] A. Boucherif, Nonlinear multipoint boundary value problems, Nonl.Anal. T.M.A. Vol.10 No.9
(1986), 957-964 (MR 88f:34025)
[3] A. Boucherif, Geometrical study of a boundary value problem (in French)
Cah.Math.Oran, No.1 (1988), 33-35 (Zbl.0669.34028)
[4] S.M.Bouguima and A. Boucherif, A discontinuous semilinear elliptic problem without a growth
condition , Dynamic Syst.Appl. Vol.2 No.2 (1993),183-188 (MR 94d:35052)
[5] A. Boucherif and J.Henderson, Two-point boundary value problems for fourth order ODEs,
Panamer. Math.J. Vol.3 No.3 (1993), 1-21 (MR 94k:34034)
[6] A. Boucherif and S.M.Bouguima, Perturbation in a free boundary problem,
J.Math. Anal. Appl. Vol.185 No.2 (1994),430-437 (MR 95f:35273)
[7] A. Boucherif and B.A.Slimani, On the sign-variations of solutions of nonlinear two-point
boundary value problems , Nonl. Anal. T.M.A. Vol.22 No.1 (1994), 1567-1577
(MR 95g: 34031)
[8] A. Boucherif and J.Henderson, Topological methods in nonlinear boundary value problems,
Nonl. Times and Digest (actually Nonlinear Studies)
Vol.1 No.2 (1994) , 146-167 (MR 95m:34036)
[9] A. Boucherif and J.Henderson, 2n-problems for nonlinear differential equations, International
J. Nonl.Diff.Equ. T.M.A. Vol.1 No.1 (1995), 49-64
[10] A. Boucherif and A.Lakmeche, Ordinary Differential Equations with discontinuous right-hand
sides: Influence of boundary data, Comm.Appl.Nonl.Anal. Vol.2 No.1 (1995),
85-94 (MR 97b: 34016)
[11] A. Boucherif and S.M.Bouguima, Sign-variations of solutions of discontinuous boundary value
problems, Nonl. Anal. T.M.A. Vol.26 No.2 (1996), 273-276 (MR 96j: 34026)
[12] A. Boucherif, E.Garcia-Rio and J.J.Nieto , Periodic solutions of quasi-differential equations,
J.Applied Math. and Stochastic Anal. Vol.9 No.1 (1996), 11-20 (MR 96k: 34038)
[13] A. Boucherif and S.M.Bouguima,On a free boundary problem, J.Math.Methods in the
Applied Sciences, Vol.19 ( 1996), 1257-1264 (MR 97e:35203)
[14] A. Boucherif, Periodic boundary value problems and a priori bounds on solutions , Comm.
Appl. Nonl. Anal . Vol.3 No.3 ( 1996) , 77-89 (MR 97c:34035)
[15] M.Benchohra and A. Boucherif, Cauchy problems and topological transversality (in French),
Annales Math. Univ. Sidi Bel-Abbes , Vol.3 (1996), 1-6
[16] A. Boucherif and J.Henderson, Positive solutions of 2nd order Ordinary Differential
Equations .I, International J. Nonl.Diff.Equ. T.M.A. Vol.3 No.1&2 (1997),
104-111
[17] A. Boucherif and S.M.Bouguima, Nonlinear second order ordinary differential equations with
nonlocal boundary conditions, Comm.Applied Nonl.Anal. 5,2(1998), 73-85
(MR 99a:34042)
[18] M.Benchohra and A. Boucherif, On first order Initial ValueProblems for impulsive differential
inclusions in Banach spaces, Dynamic Systems and Applications Vol.8
No.1(1999), 119-126 (MR 2000b: 34015)
[19] A. Boucherif and N.Daoudi-Merzagui, Solvability of 2nd order periodic boundary value
problems, Dynamic Systems and Applications Vol.8 No.2 (1999), 235-241
(MR 2000c: 34043)
[20] M.Benchohra, A. Boucherif and J.J. Nieto, On Initial value problems for first order ordinary
differential equations, Panamer. Math J. Vol.9 No.3(1999), 79-86
(MR 2000h: 34102)
[21] A. Boucherif and N.Boukli-Hacene, Two-parameter eigenvalue problems with time dependent
three-point boundary conditions, Maghreb Math.Review, Vol.8,No.1&2 (1999), 57-66
[22] M.Benchohra, A. Boucherif and J.J. Nieto, An existence result on unbounded real interval for
integral inclusions of Volterra type, Libertas Math., Vol.19 No.2 (1999), 119-126
(MR 2000m: 45001)
[23] M.Benalili and A. Boucherif, Subalgebras of finite codimension in symplectic Lie algebra,
Arch. Math. Brno Vol.35 No.2 (1999), 103-114 (MR 2001a: 17035)
[24] M.Benchohra and A. Boucherif, Existence result on an unbounded real interval to first order
initial value problems for differential inclusions in Banach spaces, Intern. J.
Nonlinear Differential Equations , Vol. 5 (1999), 34-41
[25] M.Benchohra and A. Boucherif, An existence result for an i.v.p. for an integrodiff.equation,
Comm.Appl.Nonl.Anal. Vol.7 No.1 (2000), 91-99 (MR 2000i: 45008)
[26] A. Boucherif and M.Dahmane, Positive solutions of third order boundary value problems,
Panamer. Math.J. Vol.10 No.2 (2000), 79-103 (MR 2001a: 34043)
[27] M.Benchohra and A. Boucherif, An existence result for first order initial value problems for
impulsive differential inclusions in Banach spaces, Arch. Math. Brno-Vol.36,
(2000), 159-169 (MR 2001h: 34091)
[28] A. Boucherif, Initial value problems for integro-differential inclusions, International
J. Applied Mathematics, Vol.4, 4 (2000),427-434 (MR 1 852 848)
[29] M.Benchohra and A. Boucherif, IVP for impulsive differential inclusions of first order,
Diff. Eq. and Dynamical Systems Vol.8, No.1 (2000), 51-66
[30] M.Benchohra and A. Boucherif, First order multivalued initial and periodic value problems,
Dynamic. Syst. Appl. Vol.9 (2000), 559-568 (MR 1 843 699)
[31] M.Benchohra and A. Boucherif, Existence of solutions on infinite intervals to second order
initial value problems for a class of differential inclusions in Banach spaces,
Dynamic Syst. Appl. Vol.9 (2000), 425-434 (MR 1 844 642)
[32] A. Boucherif and S.M.Bouguima, Nonlocal multipoint boundary value problems ,
Comm. Appl. Nonl. Anal.Vol.8, No.2 (2001), 73-85
[33] A. Boucherif, Two-point boundary value problems for third order differential equations,
International J.of Differential Equations and Applications, Vol.2,1 (2001),39-46
[34] M.Benchohra, A. Boucherif and J.J.Nieto, Initial value problems for a class of first order
impulsive differential inclusions, Disc. Math. Diff.Inclusions, Vol.21,No.2 (2001),159-171
[35] A. Boucherif and S.M.Bouguima, Solvability of nonlocal multipoint boundary value problems,
Nonlinear Studies,Vol.8, No.4 (2001), 395-405
[36] H.Akca, A. Boucherif and V.Covachev, Impulsive functional differential equations with
nonlocal conditions, Intern. J. Math. Math.Sciences,Vol.29, No.5 (2002), 251-256
[37] A. Boucherif, First order differential inclusions with nonlocal initial conditions,
Applied Math.Letters, Vol.15, No.4 (2002), 409-414
[38]A.Lakmeche and A. Boucherif, Boundary value problems for impulsive second order
differential equations, Dynamics of Continuous, Discrete and Impulsive
Systems, Vol.9a, No.3 (2002), 313-320
[39]A. Boucherif, Nonlocal Cauchy problems for first order multivalued differential equations,
Elect.J.Diff.Equations Vol.47 (2002), 1-9
[40]A. Boucherif and M.Benchohra, Initial value problems for first order impulsive integro-
differential inclusions in Banach spaces, Intern.J.Pure and Appl.Math.1(2002), 445-457
[41]A. Boucherif and H. Akca, Nonlocal Cauchy problems for semilinear evolution equations,
Dynamic Systems Appl.Vol.11, No.3 (2002), 415-420
[42]M.Benchohra and A. Boucherif and A.Ouahab, On nonresonance impulsive functional differential inclusions
with nonconvex right right side, J.Math.Anal.Appl.Vol 282, No.1 (2003), 85-94
[43]A.Boucherif and B.Chanane, Boundary value problems for second order differential inclusions,
Intern. J. Diff.Equations Appl. Vol.7, No.2(2003), 147-151
[44]B.Chanane and A. Boucherif, Computations of the eigenpairs of two-parameter Sturm-Liouville problems with
three-point boundary conditions, Intern. J. Diff.Equations Appl. Vol.7, No.2(2003), 203-210
[45]A. Boucherif and R.Precup, On the nonlocal initial value problem for first order differential equations,
Fixed Point Theory, Vol.4, No.2(2003), 205-212
[46]A.Boucherif and N.Al-Malki, Solvability of two-point boundary value problems,
Intern. J. Diff.Equations Appl. Vol.8, No.2(2003), 129-135
[47]Z.Benbouziane, A. Boucherif and S.M.Bouguima, Third order nonlocal multipoint boundary value problems,
Dynamic Systems Appl. Vol.13, No.1(2004), 39-46
[48]B.C.Dhage, A. Boucherif and S.K.Ntouyas, On periodic boundary value problems of first order perturbed
impulsive differential inclusions, Elect.J.Diff. Equations, Vol.84(2004),1-9
[49]A. Boucherif and N.Al-Malki, Solvability of Neumann boundary value problems with Caratheodory nonlinearities,
Elect.J.Diff. Equations, Vol.51(2004),1-7
[50]A. Boucherif and B.Chanane, Second order multivalued boundary value problems,
Comm.Appl.Nonl.Anal. Vol.11, No.2(2004),85-91
[51]Y.A.Fiagbedzi and A. Boucherif, Finite dimensional representation of distributed delay systems,
European J.Control, Vol.10, No.6(2004), 539-546
[52]A. Boucherif and Juan J.Nieto, Periodic boundary value problems for first order differential inclusions,
Communications on Applied Anal.Vol.9 (2005), 409-416
[53]A. Boucherif and N.Chiboub-Fellah-Merabet, Boundary value problems for first order multivalued
differential systems, Archivum Math.Brno, Vol.41(2005), 187-195
[54] A. Boucherif and Y.A.Fiagbedzi, An integrodifferential inequality with application,
Tamsui Oxford J.Math. Sciences, Vol.21(2005), No.2, 217-224
[55] A. Boucherif and J.Henderson, Positive solutions of second order boundary value problems with
changing signs Caratheodory nonlinearities, Electronic J. Qualitative Theory of
Differential Equations Vol.2006 (2006), No.7, 1-14
[56] A.Benmezai, A. Boucherif, S.Djebali and T.Moussaoui, Existence results for some BVPs
associated with second order ODEs, Dynamics of Cont. Discrete, Impulsive Syst.
Vol.13 (2006), No.6, 737-748
[57] A. Boucherif and Y. Fiagbedzi, Periodic Solutions of Nonlinear Integrodifferential Equations,
Dynamics of Cont. Discrete, Impulsive Syst., Vol.14 (2007), 165-175
[58] A. Boucherif, Positive Solutions of Third Order Boundary Value Problems, International J.
Applied Math. Statistics, Vol. 9, No. J07 (2007), 24-34
[59] A. Boucherif and R. Precup, Semilinear Evolution Equations with Nonlocal Initial Conditions,
Dynamic Syst. Appl. Vol.16 (2007), 507-516
[60] A. Boucherif and N. Al-Malki, Nonlinear three-point third order boundary value problems,
Applied Mathematics and Computation, Vol.190 (2007), 1168-1177
[61] A. Boucherif and N. Daoudi-Merzagui, Periodic Solutions Of Singular Nonautonomous
Second Order Differential Equations, Nonlinear Diff. Equa. Appl.
vol. 15, no. 1-2, pp. 147-158, 2008.
[62] A. Boucherif and C. C. Tisdell, "Existence of periodic and non-periodic solutions to systems
of boundary value problems for first-order differential inclusions with super-linear growth,"
Applied Mathematics and Computation, vol. 204, no. 1, pp. 441-449, 2008.
[63] A. Boucherif, "One-dimensional parabolic equation with a discontinuous nonlinearity and integral
boundary conditions," International Journal of Mathematical Models and Methods in
Applied Sciences, vol. 2, no. 1, pp. 8-17, 2008.
[64] E. A. Marengo, M. R. Khodja, and A. Boucherif, "Inverse Source Problem in Non-Homogeneous
Background Media. Part II: Vector Formulation and Antenna Substrate Performance Characterization,"
SIAM Journal of Applied Mathematics, vol. 69, no. 1, pp. 81-110, 2008.
[65] A. Boucherif, "Second Order Boundary Value Problems with Integral Boundary Conditions,"
Nonlinear Analysis: Theory, Methods & Applications, vol. 70, no. 1, pp. 364-371, 2009.
M. Benchohra, A. Boucherif and S. Ntouyas, Global Existence For Second Order Impulsive
Neutral Functional Integrodifferential Equations in Banach Spaces With
Nonlocal Conditions, The Global J. Math. Math. Sciences- Accepted
C. Conference Proceedings
[1] A.Boucherif, Fredholm maps with negative index (in French), Proc.Seminaire National
Analyse Fonctionnelle,Univ.Constantine,Algeria,1987
[2] A.Boucherif and N.Daoudi, Periodic bvp: a bifurcation analysis, Proc. Equadiff 91
(C.Perello,C.Simo and J.Sola-Morales,Eds) World Sc.Publ.Singapore ,1993,
334- 336 (MR 94e: 00020)
[3] A.Boucherif, Periodic b.v.p. with Caratheodory nonlinearities, Proc. Dynamic
Syst.Appl.( G.S. Ladde and M.Sanmbandhan , Ed) ,Dynamic Publ. Atlanta ,
USA (1994),25-31 (MR 95k: 34031)
[4] A.Boucherif and S.M.Bouguima, Periodic solutions of 2nd order o.d.es with discontinuous
nonlinearity, in Nonlinear Partial Differential Equations ,A.Benkirane and
J.P.Gossez ,Eds, Longman (1996),54-60 (MR 97e: 35003)
[5] A.Boucherif, On the topological transversality theorem of Granas and some applications,
2ieme Colloque National Analyse Fonctionnelle Sidi Bel Abbes 1997,
Ann.Math.Univ.Sidi Bel Abbes 6 (1999), 1-8 (MR 1 851 414)
[6]. M.Benchohra and A.Boucherif, Boundary value problems for first order differential equations
(in French), 2ieme Colloque National Analyse Fonctionnelle Sidi Bel Abbes 1997,
Ann.Math.Univ.Sidi Bel Abbes 6 (1999), 153-158 (MR 1 851 753)
[7] A.Boucherif and S.M.Bouguima, Multipoint boundary value problems, Proc. Equadiff 99,
Berlin, Vol.1, World Scientific (2000), 485-487
[8] A.Boucherif, Differential Equations with nonlocal boundary conditions-Invited
Lecture-Proc. of the 3rd World Congress of Nonlinear Analysts-Catania,
Italy -Nonlinear Anal. T.M.A. Vol.47 (2001), 2419-2430
[9] A.Boucherif and N.Al-Malki, Nonlinear second order periodic boundary value problems,
Proc-2004 Dynamic Systems and Applications (Akca,H., Boucherif,A.
and Covachev,V.,Eds), GBS Publishers&Distributors,India,2004, 178-188
[10] A.Boucherif, Positive solutions of second order boundary value problems, Proc. Conference
Differential, Difference Equations and Applications (R.Agarwal and K.Perera, Eds),
Hindawi Publ. Corporation, 2006, 231-236
[11] A.Boucherif, Positive solutions of second order differential equations with integral boundary conditions,
Discrete and Continuous Dynamical Systems, Supplement 2007, 2007, pp. 155-159
[12] A. Boucherif, "On a parabolic inclusion with integral boundary conditions,"
in Recent Advances On Applied Mathematics Proceedings of the American Conference
on Applied Mathematics-Harvard University - (Math'08), www.wseas.org, 2008, pp. 293-300.
[13] A. Boucherif, "Nonlocal Cauchy Problems for Semilinear Evolution Inclusions,"
DCDIS A Supplement 2009, 262-265
[14] D. R. Anderson and A. Boucherif, "Nonlocal Initial Value Problem for First-Order Dynamic Equations on Time Scales,"
DCDIS A Supplement 2009, 162-166
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