CURRICULUM VITAE
Dr. Mehmet Ünal
Çanakkale 18 March University
Faculty of Arts and Sciences
Department of Mathematics
17100 Çanakkale, Turkey
E-mail: munal@comu.edu.tr
PERSONAL INFORMATION
Date of Birth: 08.03.1963
Birth Place: Boğazlıyan-Yozgat, Turkey
Marital Status: Married
Gender : Male
EDUCATION
1993-1995
University of Missouri - Columbia
Ph.D: Mathematics
Theme: The Hopf-Cole Transformation for Burgers’ Equation
1990-1993
University of Missouri - Columbia
M.S: Applied Mathematics
Theme: Perturbative Oscillation Theorems
1982-1986
Ankara University
B.S: Mathematics
EMPLOYMENT
2011- ------
(Assoc.Prof.) Çanakkale 18 March University
Faculty of Arts and Sciences
Department of Mathematics
17100 Çanakkale, Turkey
2009-2011
(Assoc.Prof.) Bahçeşehir University
Engineering Faculty
Department of Software Engineering
34353 Beşiktaş / İSTANBUL – TURKEY
2006-2009
(Asst.Prof.) Bahçeşehir University
Engineering Faculty
Department of Software Engineering
34353 Beşiktaş / İSTANBUL – TURKEY
2001-2006
(Asst. Prof.) Bahçeşehir University
Faculty of Arts and Sciences
Department of Mathematics & Computer Sciences
34353 Beşiktaş / İSTANBUL – TURKEY
2000-2001
(Asst.Prof.) Girne American University
Engineering Faculty
Girne, North Cyprus via Mersin 10 TURKEY
1997-2000
(Software Developer) Dynalivery Corporation
320 West Port Plaza Suite 205
St. Louis, Missouri, USA 63146
1996-1997
(Dr. Research Assistant) Ankara University
Department of Mathematics
06100 Tandoğan Ankara, TURKEY
1992-1995
(Teaching Assistant) University of Missouri
Mathematics Department
202 Mathematical Sciences Bldg
Columbia, MO 65211 USA
1987-1989
(Research Assistant) Ankara University
Department of Mathematics
06100 Tandoğan Ankara, TURKEY
AREAS OF INTEREST
Functional Differential Equations: Oscillation, Positive solutions
Difference Equations
Impulsive Differential Equations: Oscillation, Stability, Controllability
Time scale calculus
Computational Methods
LANGUAGES
Turkish and English.
REFERENCES
Available upon request.
RESEARCH AND EDUCATIONAL ACTIVITIES
INTERNATIONAL CONFERENCE PARTICIPATION
The Fourteenth International Conference on Difference Equations and Applications, 14 July 21-25,
2008, in İstanbul, Turkey.
“Lyapunov – type inequalities for nonlinear systems.” 6th International ISAAC Congress, Middle East
Technical University, August 13 – 18, 2007, Ankara, Turkey.
“Lyapunov-type inequalities for nonlinear systems on time scales.” The 12th International Conference
on Difference Equations and Applications, Technical University of Lisbon, Instituto Superior Técnico,
July 23 - July 27, 2007, Lisbon, Portugal.
“On Integral Inequalities for Certain Nonlinear Second Order Differential Equations.” Conference in
Honor of Allan Peterson, July 28 - August 2, 2007, Abbazia di Novacella, Italy.
"Oscillation theory in q-calculus ", The First International Workshop on Dynamic Equation on Time
Scales, Bahçeşehir University, 27 June – 1 July, 2005, Istanbul, Turkey.
“Lyapunov – Type Integral Inequalities for Certain Nonlinear Second Order Differential Equations.”
Colloquium on Differential and Difference Eqauations, September 5-8, 2006, Brno, Czech Republic.
"Kneser's Theorem in q-calculus", International Conference on Difference Equations, Special Function
and Applications, July 25 – July 30, 2005, Munich, Germany.
“Harmonic Analyis via Wavelet Packet Decomposition using Special Elliptic Half - Band Filters."
MTC 2004 Instrumentation and Measurement Technology Conference, Como, Italy, 18 - 20 May 2004.
NATIONAL CONFERENCE PARTICIPATION
Ulusal Matematik Sempozyumu, Istanbul, 2005
Workshop on differential equations and applications I, Ankara, 2007
Workshop on differential equations and applications, İstanbul, 2008
Workshop on differential equations and applications II, Pamukkale, 2008
CONFERENCE ORGANIZATION
The First International Workshop on Dynamic Equation on Time Scales, Bahçeşehir University, 27
June – 1 July, 2005, Istanbul, Turkey. (Chair, Organizing Committee)
The Fourteenth International Conference on Difference Equations and Applications, 14 July 21-25,
2008, in İstanbul, Turkey. (Chair, Organizing Committee)
PROJECTS
TUBITAK 108T688 (2009-2011)
LECTURED COURSES
Undergraduate Courses:
Mathematics for Social Sciences; Calculus I, II; Calculus for Math Students I, II; Advanced
Calculus I,II; Differential Equations; Partial Differential Equations; Complex Analysis;
Numerical Analysis; Engineering Mathematics; Linear Algebra and Differential Equations;
Linear Algebra I, II; Linear Algebra with Matlab; Introduction to Real Analysis.
MEMBERSHIP & AWARDS
Memberships:
The Turkish Mathematical Society.
The American Mathematical Society.
International Society of Difference Equations.
Awards:
Graduate Fellowship from the Higher Education Council of Turkey for doctoral studies at the
University of Missouri-Columbia, 1989-1992.
ADMINISTRATIVE DUTIES
2002-2005
(Vice Dean)
Bahçeşehir University
Faculty of Arts and Sciences
2002-2005
(Chair person)
Bahçeşehir University
Department of Mathematics & Computer Sciences
2002-2004
(Member)
Bahçeşehir University
University Administrative Board
2000-2001
(Deputy Dean)
Girne American University
Engineering Faculty
PUBLICATIONS
“Nonprincipal solutions of half-linear second order differential equations.” Nonlinear
Analysis (2009), doi:10.1016/j.na.2009.02.085. (Jointly with O. Dosly)
“Lyapunov – type inequalities for certain nonlinear systems on time scales.” Turk. J. Math.
32 (2008) 255-275. (Jointly with D. Çakmak)
“Conditionally oscillatory half-linear differential equations.” Acta Math. Hungar, 120(12) (2008) 147-163. (Jointly with O. Dosly)
“A Discrete Analogue of Lyapunov - type Inequalities for Nonlinear Systems.” Computers
and Mathematics with Applications, 55 (2008) 2631–2642. (Jointly with D. Çakmak and
A. Tiryaki)
“Harmonic analysis via wavelet packet decomposition using special elliptic half-band
filters.” IEEE Transactions on Instrumentation and Measurement, 56(6) (2007) 2289 –
2293. (Jointly with L. Eren and Michael J. Devaney)
“Half-linear differential equations: Linearizations technique and its application.” J. Math.
Anal. Appl. 335 (2007) 450 – 460. (Jointly with O. Dosly)
“Lyapunov - type inequalities for nonlinear systems, “ J. Math. Anal. Appl. 332 (2007) 497
– 511. (Jointly with A. Tiryaki and D. Çakmak,)
"Kneser's Theorem in q-calculus", Journal of Physics A: Math. Gen. 38 (2005) 6729 –
6739. (Jointly with Martin Bohner)
"L imit field of the AF-F transition in FeRh", Journal of Alloys and Compounds", Journal
of Alloys and Compounds 348 (2003) 18-22. (Jointly with M.P. Annaorazov, S.A. Nikitin ,
A.L. Tyurin , K.A. Asatryan , A.Kh. Dovletov)
“ Magnetocaloric heat-pump cycles based on the AF–F transition in Fe–Rh alloys”, Journal
of Magnetism and Magnetic Materials 251/1 (2002) 61-73. (Joint with M.P. Annaorazova,
S.A. Nikitin, A.L. Tyurin, K.A. Asatryan)
“Perturbative Oscillation Criteria and Hardy-Type Inequalities”, Math. Nachr. 189 (1998),
121-144. (Jointly with F. Gesztesy)
CITATIONS (Excluding self-citations in the MR Citation Database)
Title: Perturbative oscillation criteria and Hardy-type inequalities
Author(s): Gesztesy, F.; Ünal, M
Source: Math. Nachr. 189 (1998), 121--144.
1. H Krüger, G Teschl, “Relative Oscillation Theory, Weighted Zeros of the
Wronskian, and the Spectral Shift Function.” Comm. Math. Phys. 287 (2009) no 2,
613-640.
2. Krüger, Helge; Teschl, Gerald “Effective Prüfer angles and relative oscillation
criteria.” J. Differential Equations 245 (2008), no. 12, 3823-3848.
3. Došlý, Ondřej, “Perturbations of the half-linear Euler-Weber type differential
equation.” J. Math. Anal. Appl. 323 (2006), no. 1, 426-440.
4. Helge Kruger, “Relative Oscillation Theory for Sturm–Liouville Operators.”
(2006) Thesis, Wien University.
5. Don Hinton, “Sturm-Liouville Theory: Past and Present: Sturm’s 1836 Oscillation
Results Evolution of the Theory.” Book, published by Birkhauser Verlag
Basel/Switzerland, (2005), 1-27. ISBN: 978-3-7643-7066-4.
6. W. Norrie Everitt, “Sturm-Liouville Theory: Past and Present: A Catalogue of
Sturm-Liouville Differential Equations.” Book, published by Birkhauser Verlag
Basel/Switzerland, (2005), 271-331. ISBN: 978-3-7643-7066-4.
7. FS Rofe-Beketov, AM Kholkin, “Spectral analysis of differential operators:
interplay between spectral and oscillatory properties”. Book, published by World
Scientific, (2005). ISBN: 9812562761, 9789812562760
8. Luef, Franz; Teschl, Gerald, “On the finiteness of the number of eigenvalues of
Jacobi operators below the essential spectrum.” J. Difference Equ. Appl. 10 (2004),
no. 3, 299--307.
9. Luef, Franz; Teschl, Gerald, “ On the finiteness of the number of eigenvalues of
Jacobi operators below the essential spectrum”. J. Difference Equ. Appl. 10 (2004),
no. 3, 299--307.
10. Eingereicht von Franz Luef, “Perturbative Oscillation Theorems for Jacobi
equations.” (2001) Thesis, Wien University.
11. Schmidt, Karl Michael, “Relative oscillation--non-oscillation criteria for perturbed
periodic Dirac systems.” J. Math. Anal. Appl. 246 (2000), no. 2, 591--607.
12. Schmidt, Karl Michael, “Critical coupling constants and eigenvalue asymptotics of
perturbed periodic Sturm-Liouville operators.” Comm. Math. Phys. 211 (2000), no.
2, 465--485.
Title: Half-linear differential equations: linearization technique and its application.
Author(s): Ondřej, D., Ünal, M.
Source: J. Math. Anal. Appl. 335 (2007), no. 1, 450--460.
1. Pátíková, Zuzana “Asymptotic formulas for non-oscillatory solutions of perturbed
half-linear Euler equation.” Nonlinear Anal. 69 (2008), no. 10, 3281--3290.
2. Ondrej Dosly and Simona Fisnarova, “Linearized Riccati Technique and
(Non)Oscillation Criteria for Half-Linear Difference Equations.” Advances in
Difference Equations, (2008), doi:10.1155/2008/438130.
Title: Kneser's Theorem in q-calculus.
Author(s): Bohner, M., Ünal, M.
Source: Journal of Physics A: Math. Gen. 38 (2005) 6729 – 6739.
1. Rehak P, Vitovec J., “q-regular variation and q-difference equations.” Journal of
Physics A-Mathematical And Theoretical , 41, issue49 (2008) Article Number:
495203.
2. Pavel Rehak, “A Critical Oscillation Constant as a Variable of Time Scales for
Half-Linear Dynamic Equations.” Preprint, Institute of Mathematics, AS CR,
Prague. 2007.
3. Lynn Erbe and Allan Peterson, “Some Oscillation Results for Second Order Linear
Delay Dynamic Equations.” Difference Eqn. Appl.(to appear).
Title: Harmonic analysis via wavelet packet decomposition using special elliptic half-band filters.
Author(s): L. Eren, M. Ünal, and M. J. Devaney.
Source: IEEE Transactions on Instrumentation and Measurement, 56(6) (2007) 2289 – 2293.
1. I. Bemke, R. Zielonko, “Improvement of glass break acoustıc sıgnal detectıon vıa
applıcatıon of wavelet packet decomposıtıon.” Metrology And Measurement
Systems Vol. XV, Number 4 (2008).
2. Teotrakool, K., Devaney, M.J., Eren, L., “Bearing Fault Detection in Adjustable
Speed Drives via a Support Vector Machine with Feature Selection using a Genetic
Algorithm.” Instrumentation and Measurement Technology Conference
Proceedings, (2008) 1129-1133.
3. 5. Jinglei Guo, Yong Wu, “An improved method for harmonic detecting”
Intelligent Control and Automation, IEEE WCICA (2008) 4981-4985.
4. Teotrakool, K., “Adjustable speed drive bearing fault detection via support vector
machine incorporating feature selection using genetic algorithm.” (2007) Thesis,
University of Missouri-Columbia.
5. K Teotrakool, MJ Devaney, L Eren, “Adjustable Speed Drive Bearing Fault
Detection via Wavelet Packet Decomposition.” IEEE Instrumentation and
Measurement Technology Conference, (2006) 22-25.
Title: Magnetocaloric heat-pump cycles based on the AF–F transition in Fe–Rh alloys
Author(s): M. Ünal, M.P. Annaorazova, et al.
Source: Journal of Magnetism and Magnetic Materials 251/1 (2002) 61-73.
1. K A Gschneidner Jr. et al, “Recent developments in magnetocaloric materials.”
Rep. Prog. Phys. 68 (2005) 1479-1539.
2. E. Brück, et al. “Magnetocaloric effects in MnFeP1−xAsx-based compounds ”
Journal of Magnetism and Magnetic Materials, 290-291, Part 1, (2005), 8-13.
3. M Gruner, “Monte-Carlo-Simulationen von Magnetovolumeneffekten in
Festkörpern und Nanopartikeln.” Book published by Universitätsbibliothek
Duisburg (2003).
4. MP Annaorazov, HM Güven, K Bärner, “COP of cooling cycles around the AF–F
transition in FeRh based on experimental data.” Journal of Alloys and Compounds,
397, Issues 1-2, (2005), 26-30.
5. ME Gruner, P. Entel, “Simulation of the (p, T) phase diagram of the temperaturedriven metamagnet α-FeRh.” Phase Transitions; Vol. 78 Issue 1-3, (2005), 209217.
6. Meghmalhar Manekar and S B Roy, “Reproducible room temperature giant
magnetocaloric effect in Fe–Rh.” J. Phys. D: Appl. Phys. 41 (2008).
Title: Limit field of the AF-F transition in FeRh
Author(s): M. Ünal, M.P. Annaorazova, et al.
Source:Journal of Alloys and Compounds", Journal of Alloys and Compounds 348 (2003)
18-22..
1. Annaorazov MP, Barner K, Yalcin S., “Cooling cycles based on the AF-F
transition in Fe-Rh induced by magnetic field” Journal of Alloys And Compounds,
372 , issue1-2 (2004) 52-57.