Publications

Recent papers   ( Can be found on the arXiv)

       

Published papers

47   Structural stability and decay estimate for marine riser equation, Mathematics and Computer Modeling,

      Vol .54 (20011), n.11-12, pp 3182-3188  (with O.A.Çelebi and Ş.Gür) 

46    Uniform decay rates for the energy of weakly damped defocusing semilinear Schrödinger  

         equations with inhomogeneous Dirichlet boundary control  (with I.Lasiecka and T. Özsarı),

         Journal of Differential Equations , Vol. 251 (2011) 1841 - 1863

45  Global attractors and determining modes for the 3D Navier--Stokes--Voight equations

       (with E.S. Titi) Chin. Ann. Math. Ser. B 30 (2009), no. 6, 697--714.

44. Finite--Dimensional Attractors for the Strongly damped Wave Equation
      (with S.Zelik ), Journal of Differential Equations, 247 (2009) 1120-1155

43. Global attractors for 2D Navier–Stokes–Voight equations in an unbounded domain
      (with A. O. Çelebı and M. Polat ), Applicable Analysis, 88 (2009)  381 - 392

42.  Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations
      (with B.Levant and E.S.Titi)  Journal of Nonlinear Science, 19 (2009) 133 - 152

41. Structural stability for the double diffusive convective Brinkman equations, 
      (with A.O.Çelebi and D.Uğurlu) Applicable Analysis, vol. 87 (2008) 933 --942                                                                                                                            

40. 3D Convective Cahn - Hilliard Equation,  (with A. Eden) Comm. Pure Appl. Anal.
          Vol.6, (2007) no.4, pp. 1075 -1086

39. The convective Cahn–Hilliard equation (with Alp Eden)
      Appl. Math. Lett.,  vol.20 (2007) no. 4, 455-461

38. On continuous dependence on coefficients of the Brinkman-Forchheimer equations.
       (with A.O.Çelebi and D.Uğurlu) Appl. Math. Lett., 19 (2006), no. 8, 801--807.

37. On global behavior of solutions to an inverse problem for nonlinear parabolic equations,
      (with A.Eden)  J.Math.Anal.Appl. 307 (2005)120-133                 

36. Continuous dependence for the convective Brinkman-Forchheimer equations,
      (with A.O.Çelebi and D.Uğurlu) Appl. Anal, (84) 9 (2005) 877 -- 888.     

35. On global behavior of solutions to an inverse problem for semi-linear hyperbolic equations,
      (with A.Eden)  Zap. Nauchn. Sem. POMI , 2004, vol 318, pp.120-134                                              

34. The asymptotic behavior of solutions to an inverse problem for differential operator equations,
      (with A.F.Güvenilir) Math.Comp.Modelling, vol. 37 , 2003, pp. 907-914

33.  Global solutions of coupled Kuramoto-Sivashinsky and Ginzburg-Landau equations,In :M.S.Birman,
       St.Hildebrandt,   V.A.Solonnikov,N.N.Uraltseva(editors), Nonlinear Problems in Mathematical Physics
        and Related Topics II. In Honor of Professor O.A.Ladyzhenskaya.
        Kluwer/Plenum Publishers,2002, pp. 213-227.
32. A remark on nonexistence of global solutions to quasi-linear hyperbolic
       and parabolic equations, (with D.Erdem)  Appl. Math. Lett.. vol. 15, no. 5, 521-653 ( 2002)
 
31. Spatial behavior estimates for the wave equation under nonlinear boundary conditions,
      (with A.O.Celebi ) Math. Comp. Modelling, 34,(2001),no.5-6,527-532
 
30. Determining functionals for nonlinear damped wave equations, (with Chueshov I.D.)
      Math. Phys. Anal. Geom. 8(2001)215-227.
 
29. Global solution of coupled Kuramoto-Sivashinsky and Ginzburg-Landau equations,
       Trans. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci. 20 (2000), no.1, Math.Mech., pp.50--54
 
28.  Dictionary of Mathematical Terms , (with H.H.Hacısalihoğlu, A.Hacıyev, L.M.Brown,A.Sabuncuoğlu)
      Turkish Language Council, Ankara, 2000, 678 pages.
 
27.  Attractors for the Generalized Benjamin- Bona -Mahony Equation, (with O.Celebi ,M.Polat )
       Journal of Differential Equations, 1999,vol.157, pp. 439 - 451.
 
26.  On the Discrete Squeezing Property for Semi-linear Wave Equations, (with A.Eden )
       Turkish Journal of Mathematics,1998,vol. 22, no.3, pp.335-341
 
25. A remark on two constructions of exponential attractors for a-contractions  
       (with A.Eden and C.Foias) Journal of Dynamics and Diff.Eq.,1998, vol.10,no.1,pp.37-45
 
24.  Phragmen-Lindelöf type theorems for some semi-linear elliptic and parabolic equations,
       (with O.Celebi  and F.Tahamtani) Demonstratio Mathematica,1998, vol.31, no.1,pp.43-54
 
23. The long-time behavior of solutions of a nonlinear fourth order equation
      describing the dynamics of marine riser, (with A.Kurt ) Z.angew.Math.Mech.
      77 (1997) 3, pp.209-215
 
22. Blow-up theorems for second order nonlinear evolutionary  equations ,
       in O.Boratav .,  A.Eden , A.Erzan .( Eds.) "Turbulence modeling and vortex dynamics"
       Lecture Not. in Physics, Springer Verlag , 1997, pp.169-181
 
21.  On the stability results for third order differential-operator equations,
       ( with A.Tiryaki)  Turkish Journal of Mathematics, 1997, v.21, no.2, pp.179-186.
 
20. Finite dimensional attractors for a class of semi-linear wave equations,
      ( with A.Eden) Turkish Journal of Mathematics, 1996, v.20, pp. 425-450.
 
19.  Global nonexistence of solutions of multi-component diffusion systems,
       (with  D.Erdem) in "Trans. of the Institute of Math. and Mech. of Azerbaijan AS,
       1996, vol.6, pp.21-29
 
18. Phragmén-Lindelöf principle for a class of fourth-order nonlinear elliptic equations,
      Bull.Iranian Math.Soc. 20(1994), pp.41-52.
 
17.  On minimal global attractor for the phase -field equations,
       Zap. Nauchn.Sem.. Leningrad Otd.. Mat. Inst. Steklov, 1991, v.188, no.22,pp.70-86
 
16. Global properties of solutions of  Caginalp system,
      Reports of seminar on differential equations and mathematical physics, Baku, 1990, pp.18-19
 
15. On the collapse of solutions of systems of nonlinear equations of parabolic-hyperbolic type (Russian)
      Izv. Akad. Nauk Azerba\u\i dzhan. SSR Ser. Fiz.-Tekhn. Mat. Nauk 10 (1989), no. 2-3, 33--37
 
14. Global behavior of solutions of nonlinear equations of mathematical physics of classical and non-classical types
      Post Doct.Thesis,1988, 1988, Leningrad Department of Steklov Math.Inst. ,Leningrad (St.Petersburg), 213 pages
 
13.  Global behavior of solutions to some fourth-order nonlinear equations Zap. Nauchn. Sem.Leningrad Otd.. Mat. Inst.
       Steklov  1987, v.1163,no.19,pp.66-75.
 
12.  Global behavior of solutions to the Cauchy problem for second order operator-differential equations,
       Izv. AN.Azerb.SSR ser.fiz.tech.mat.nauk, 1987, v.8, no.6, pp. 28-34.
 
11.  Global behavior of solutions of initial boundary value problem for a class of systems of nonlinear equations,
       Izv. AN Azerb.SSR ser.fiz. tech. mat.nauk, 1987, v.8, no.2, pp. 47-51.
 
10. Estimates of solutions of quasi-linear parabolic equations in unbounded domains,
      Izv.AN Azerb SSR ser. fiz.tech.mat.nauk, 1986, v.7, no.1, pp. 33-37
 
9. Attractors for some nonlinear problems of mathematical physics , 
    Zap. Nauchn. Sem. Leningrad Otd. Mat. Inst. Steklov 1986, v.182, pp.50-54.
    (English transl. in J. Sov. Math., 1988, v.40., pp.619-622)
 
8. Collapse of the solutions of parabolic and hyperbolic equations with nonlinear boundary conditions,
    Zap. Nauchn. Sem. Leningrad Otd. Mat. Inst. Steklov 1983, v.127, pp.75-83
    (English transl. in J. Sov. Math., 1984, v.27., pp.1139-1153)
 
7. Theorems of  Phragmen-Lindelöf  type for two nonlinear problems of mechanics,
    Zap. Nauchn. Sem. Leningrad Otd.Mat.Inst.Steklov, 1981, v.110, no.13, pp.53-56.
 
6. Determination of solutions of the first boundary value problem for a system of Karman
    equations having an unbounded energy integral, Zap.Nauchn. Sem. Leningrad Otd.Mat.Inst.Steklov
   1980, v.96, pp.97-100 (English transl. in J.Sov.Math., 1983, v.21., pp.711-714)
 
5. On stabilisation of solutions of some quasi-linear parabolic equations, (with O.A.Ladyzhenskaya )
     Sibirski Mat.Zhurnal, 1978, v.19, no.5, pp.1043-1052 (English transl. in Sibirian  Math J., 1978,)
 
4.   The occurence of collapse for quasi-linear equations of parabolic and hyperbolic type,
      (with O.A.Ladyzhenskaya )Zap.Nauchn. Sem. Leningrad Otd.Mat.Inst.Steklov1977, v.69,
       pp.77-102 (English transl. in J. Sov. Math., 1978, v.10., pp.53-70)
 
3. On mixed problem for semi-linear parabolic-hyperbolic system of equations,
    Doklady AN Azerb. SSR , 1974, v.30, no.3, pp.20-25
 
2.  An investigation of the mixed problem for a certain class of nonstationary systems,
     Dokl.Akad.Nauk.Azerb.SSR,30 (1974), no. 1, pp.8--11.
 
1. Investigation of generalized solutions of mixed problem for the system of two equations,
    of parabolic and hyperbolic type, Uch.. Zap.Azerb.Gos. Univ., ser.fiz.mat. nauk,
    1972, no.4, pp. 50-58
 

 

 
 Books
 
1. Matematik Terimleri Sözlüğü, Türk Dil Kurumu, Ankara ,2000 , 678 pp (with H.H.Hacısalihoğlu, A.Hacıyev, A.Sabuncuoğlu, L.M.Brown, E.İbikli, S.Brown)

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