Department of Mathematics

  Journal Publications, up to 2000

  1999

• Deðer, S., A. Kaya, E. Sezgin and P. Sundell (1999). "Spectrum of , supergravity on ." Nuclear Phys. B 536(1-2): 110--140 http://dx.doi.org/10.1016/S0550-3213(98)00555-0 . 

• Yýldýrým, C. Y. (1999). A survey of results on primes in short intervals. Number theory and its applications (Ankara, 1996). New York, Dekker. 204: 307--343. 

  1998

• Eden, A., C. Foias and V. Kalantarov (1998). "A remark on two constructions of exponential attractors for -contractions." J. Dynam. Differential Equations 10(1): 37--45 http://dx.doi.org/10.1023/A:1022636328133 . 

• Eden, A. and V. K. Kalantarov (1998). "On the discrete squeezing property for semilinear wave equations." Turkish J. Math. 22(3): 335--341. 

• Goldston, D. A. and C. Y. Yýldýrým (1998). "Primes in short segments of arithmetic progressions." Canad. J. Math. 50(3): 563--580 http://journals.cms.math.ca/ams/ams-redirect.php?Journal=CJM&Volume=50&FirstPage=563 . 

• Tanbay, B. (1998). "Direct sums and the Schur property." Turkish J. Math. 22(3): 349--354. 

  1997

• Adler, V., B. Gürel, M. Gürses and I. Habibullin (1997). "Boundary conditions for integrable equations." J. Phys. A 30(10): 3505--3513 http://dx.doi.org/10.1088/0305-4470/30/10/025 . 

• Gürel, B. and I. Habibullin (1997). "Boundary conditions for two-dimensional integrable chains." Phys. Lett. A 233(1-2): 68--72 http://dx.doi.org/10.1016/S0375-9601(97)00445-3 . 

• Yýldýrým, C. Y. (1997). "Erratum: 'Zeros of derivatives of Dirichlet -functions' [Turkish J. Math. 20(1996), no. 4, 521--534] by C. Y. Yýldýrým." Turkish J. Math. 21(2): 257--270. 

  1996

• Eden, A. and V. Kalantarov (1996). "Finite-dimensional attractors for a class of semilinear wave equations." Turkish J. Math. 20(3): 425--450. 

• Gürel, T. B., M. Gürses and I. Habibullin (1996). Integrable boundary conditions for evolution equations. Nonlinear physics: theory and experiment (Lecce, 1995), World Sci. Publ., River Edge, NJ: 131--138. 

• Yýldýrým, C. Y. (1996). "A note on and ." Proc. Amer. Math. Soc. 124(8): 2311--2314 http://dx.doi.org/10.1090/S0002-9939-96-03755-0 .

• Yýldýrým, C. Y. (1996). "Zeros of derivatives of Dirichlet -functions." Turkish J. Math. 20(4): 521--534. 

  1995

• Eden, A. and A. Milani (1995). "On the convergence of attractors and exponential attractors for singularly perturbed hyperbolic equations." Turkish J. Math. 19(1): 102--117. 

• Gürel, B., M. Gürses and I. Habibullin (1995). "Boundary value problems for integrable equations compatible with the symmetry algebra." J. Math. Phys. 36(12): 6809--6821 http://dx.doi.org/10.1063/1.531189 . 

  1994

• Babai, L., H. Oral and K. T. Phelps (1994). "Eulerian self-dual codes." SIAM J. Discrete Math. 7(2): 325--330 http://dx.doi.org/10.1137/S089548019120256X . 

• Budak, T., N. Iþýk and J. Pym (1994). "Subsemigroups of Stone-\v Cech compactifications." Math. Proc. Cambridge Philos. Soc. 116(1): 99--118 http://dx.doi.org/10.1017/S0305004100072406 . 

• Eden, A., C. Foias and B. Nicolaenko (1994). "Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations." J. Dynam. Differential Equations 6(2): 301--323 http://dx.doi.org/10.1007/BF02218532 . 

• Eden, A., C. Foias, B. Nicolaenko and R. Temam (1994). Exponential attractors for dissipative evolution equations. Paris, Masson. 

• Eden, A. and J. M. Rakotoson (1994). "Exponential attractors for a doubly nonlinear equation." J. Math. Anal. Appl. 185(2): 321--339 http://dx.doi.org/10.1006/jmaa.1994.1251 . 

• Gürel, B., M. Gürses and I. Habibullin (1994). "Boundary value problems compatible with symmetries." Phys. Lett. A 190(3-4): 231--237 http://dx.doi.org/10.1016/0375-9601(94)90747-1 . 

• Yýldýrým, C. Y. (1994). "On the tails of the exponential series." Canad. Math. Bull. 37(2): 278--286. 

  1993

• Ben-Artzi, A., A. Eden, C. Foias and B. Nicolaenko (1993). "Hölder continuity for the inverse of Ma\~n\'e's projection." J. Math. Anal. Appl. 178(1): 22--29 http://dx.doi.org/10.1006/jmaa.1993.1288 . 

• Budak, T. (1993). "Compactifying topologised semigroups." Semigroup Forum 46(1): 128--129 http://dx.doi.org/10.1007/BF02573556 .

• Eden, A., C. Foias and B. Nicolaenko (1993). "Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations." C. R. Acad. Sci. Paris S\'er. I Math. 316(11): 1211--1215.

• Eden, A., C. Foias, B. Nicolaenko and Z. S. She (1993). "Exponential attractors and their relevance to fluid dynamics systems." Phys. D 63(3-4): 350--360 http://dx.doi.org/10.1016/0167-2789(93)90116-I . 

• Eden, A., A. Milani and B. Nicolaenko (1993). "Local exponential attractors for models of phase change for compressible gas dynamics." Nonlinearity 6(1): 93--117 http://stacks.iop.org/0951-7715/6/93 . 

• Eden, A. and A. J. Milani (1993). "Exponential attractors for extensible beam equations." Nonlinearity 6(3): 457--479 http://stacks.iop.org/0951-7715/6/457 . 

• Göktürk, Z. (1993). "Area theorem for -valent quasimeromorphic functions." Doða Mat. 17(3): 292--297. Tanbay, B. (1993). "Approximating the averaging operator." Doða Mat. 17(1): 84--90. 

  1992

• Eden, A., A. J. Milani and B. Nicolaenko (1992). "Finite-dimensional exponential attractors for semilinear wave equations with damping." J. Math. Anal. Appl. 169(2): 408--419 http://dx.doi.org/10.1016/0022-247X(92)90087-T . 

• Feyzioðlu, A. K. (1992). "A very simple proof that is a principal ideal domain." Doða Mat. 16(1): 62--68. 

• Oral, H. (1992). "Self-orthogonal codes with distance four are not rigid." Discrete Math. 104(3): 263--271 http://dx.doi.org/10.1016/0012-365X(92)90448-O . 

• Oral, H. and K. T. Phelps (1992). "Almost all self-dual codes are rigid." J. Combin. Theory Ser. A 60(2): 264--276 http://dx.doi.org/10.1016/0097-3165(92)90007-H . 

• Tanbay, B. (1992). "Strong compressibility on algebras of operators." Doða Mat. 16(2): 85--94. Yýldýrým, C. Y. (1992). "On the zeros of the sections of the exponential function." Doða Mat. 16(3): 177--182. 

  1991

• Budak, T. (1991). "Compactifications of discrete versions of semitopological semigroups by filters of zero sets." Math. Proc. Cambridge Philos. Soc. 109(2): 363--373 http://dx.doi.org/10.1017/S0305004100069826 . 

• Eden, A. and C. Foias (1991). "A simple proof of the generalized Lieb-Thirring inequalities in one-space dimension." J. Math. Anal. Appl. 162(1): 250--254 http://dx.doi.org/10.1016/0022-247X(91)90191-2 . 

• Eden, A., C. Foias and R. Temam (1991). "Local and global Lyapunov exponents." J. Dynam. Differential Equations 3(1): 133--177 http://dx.doi.org/10.1007/BF01049491 . 

• Eden, A., B. Michaux and J. M. Rakotoson (1991). "Doubly nonlinear parabolic-type equations as dynamical systems." J. Dynam. Differential Equations 3(1): 87--131 http://dx.doi.org/10.1007/BF01049490 . 

• Oral, H. (1991). "Constructing self-dual codes using graphs." J. Combin. Theory Ser. B 52(2): 250--258 http://dx.doi.org/10.1016/0095-8956(91)90066-S . 

• Papazyan, T. (1991). "Extremal topologies on a semigroup." Topology Appl. 39(3): 229--243 http://dx.doi.org/10.1016/0166-8641(91)90116-4 . 

• Papazyan, T. (1991). "Oids, finite sums and the structure of the Stone-\v Cech compactification of a discrete semigroup." Semigroup Forum 42(3): 265--277 http://dx.doi.org/10.1007/BF02573424 . 

• Tanbay, B. (1991). "Pure state extensions and compressibility of the -algebra." Proc. Amer. Math. Soc. 113(3): 707--713 http://dx.doi.org/10.2307/2048605 . 

• Yýldýrým, C. Y. (1991). "The pair correlation of zeros of Dirichlet -functions and primes in arithmetic progressions." Manuscripta Math. 72(3): 325--334 http://dx.doi.org/10.1007/BF02568283 .

• Yildrim, C. Y. (1991). "A sum over the zeros of partial sums of ." J. Ramanujan Math. Soc. 6(1-2): 51--66. 

  1990

• Eden, A. (1990). "Local estimates for the Hausdorff dimension of an attractor." J. Math. Anal. Appl. 150(1): 100--119 http://dx.doi.org/10.1016/0022-247X(90)90198-O . 

• Eden, A. (1990). "On Burgers' original mathematical model of turbulence." Nonlinearity 3(3): 557--566 http://stacks.iop.org/0951-7715/3/557 .

• Eden, A., C. Foias, B. Nicolaenko and R. Temam (1990). "Ensembles inertiels pour des \'equations d'\'evolution dissipatives." C. R. Acad. Sci. Paris S\'er. I Math. 310(7): 559--562. 

• Eden, A., B. Michaux and J. M. Rakotoson (1990). "Error analysis of nonlinear evolution equations and associated dynamical systems." Appl. Math. Lett. 3(3): 31--34 http://dx.doi.org/10.1016/0893-9659(90)90131-T . 

• Eden, A., B. Michaux and J. M. Rakotoson (1990). "Semi-discretized nonlinear evolution equations as discrete dynamical systems and error analysis." Indiana Univ. Math. J. 39(3): 737--783 http://dx.doi.org/10.1512/iumj.1990.39.39036 . 

• Eden, A., B. Michaux and J. M. Rakotoson (1990). "Some results on doubly nonlinear parabolic equations as dynamical systems." Appl. Math. Lett. 3(1): 5--8 http://dx.doi.org/10.1016/0893-9659(90)90055-G . 

• Oral, H. (1990). "Face-vertex incidence matrix of a cubic planar graph." Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1990) 77: 169--174. 

• Papazyan, T. (1990). "Filters and semigroup properties." Semigroup Forum 41(3): 329--338 http://dx.doi.org/10.1007/BF02573399 .

• Yýldýrým, C. Y. (1990). "The mean value of at the zeros of ." C. R. Math. Rep. Acad. Sci. Canada 12(4): 135--140. 

  1989

• Eden, A. (1989). "Local Lyapunov exponents and a local estimate of Hausdorff dimension %Z Attractors, inertial manifolds and their approximation (Marseille-Luminy, 1987)." RAIRO Mod\'el. Math. Anal. Num\'er. 23(3): 405--413. 

• Eden, A. and A. Libin (1989). "Explicit dimension estimates of attractors for the MHD equations in three-dimensional space." Phys. D 40(3): 338--352 http://dx.doi.org/10.1016/0167-2789(89)90048-1 . 

• Feyzioðlu, A. K. (1989). "Charaktergrade und die Kommutatorl\"ange in auflösbaren Gruppen." J. Algebra 126(1): 225--251 http://dx.doi.org/10.1016/0021-8693(89)90330-X . 

• Göktürk, Z. (1989). "Representation theorems for analytic functions with quasimeromorphic extensions." Ann. Acad. Sci. Fenn. Ser. A I Math. 14(1): 3--12. 

• Helmer, D. and N. Iþýk (1989). "Construction of right topological compactifications for discrete versions of subsemigroups of compact groups." Semigroup Forum 39(1): 65--73 http://dx.doi.org/10.1007/BF02573285 . 

• Papazyan, T. (1989). "The existence of almost translation invariant ultrafilters on any semigroup." Proc. Amer. Math. Soc. 107(4): 1133--1135 http://dx.doi.org/10.2307/2047678 . 

• Özekici, S. and T. Papazyan (1988). "Inspection policies and processes for deteriorating systems subject to catastrophic failure." Naval Res. Logist. 35(4): 481--492 http://dx.doi.org/10.1002/1520-6750(198808)35:4%3C481::AID-NAV3220350404%3E3.0.CO;2-8 . 

  1987

• Iþýk, N., J. Pym and A. Ülger (1987). "The second dual of the group algebra of a compact group." J. London Math. Soc. (2) 35(1): 135--148 http://dx.doi.org/10.1112/jlms/s2-35.1.135 .

  1983

• Arikan, N. (1983). "Arens regularity and retractions." Glasgow Math. J. 24(1): 17--21. 

• Göktürk, Z. (1983). Remarks on -valent quasimeromorphic functions. Complex analysis---fifth Romanian-Finnish seminar, Part 1 (Bucharest, 1981). Berlin, Springer. 1013: 95--99 http://dx.doi.org/10.1007/BFb0066521 . 

  1982

• Arikan, N. (1982). "A simple condition ensuring the Arens regularity of bilinear mappings." Proc. Amer. Math. Soc. 84(4): 525--531 http://dx.doi.org/10.2307/2044028 . 

  1981

• Arikan, N. (1981). "Arens regularity and reflexivity." Quart. J. Math. Oxford Ser. (2) 32(128): 383--388. 

  1978

• Göktürk, Z. (1978). On -valent quasimeromorphic functions. Proceedings of the Rolf Nevanlinna Symposium on Complex Analysis (Math. Res. Inst., Univ. Istanbul, Silivri, 1976). Istanbul, Univ. Istanbul. 7: 25--35. 

  1974

• Göktürk, Z. (1974). "Estimates for univalent functions with quasiconformal extensions." Ann. Acad. Sci. Fenn. Ser. A I(589): 21.