ΕΡΕΥΝΗΤΙΚΕΣ
ΔΗΜΟΣΙΕΥΣΕΙΣ ΑΝΑ ΕΡΕΥΝΗΤΙΚΗ ΠΕΡΙΟΧΗ
Ι.
ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ
Α. ΣΥΝΗΘΕΙΣ ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ
1.
P. D. Siafarikas, Analytic solutions of singular Linear differential Equations and
Applications, Ph. D. Thesis (in
Greek), University of Patras, (1980) Patras, Greece.
2.
P. D. Siafarikas, Conditions for Analytic Solutions of a Singular Differential Equation, Applicable Analysis Vol. 17 (1983), I-12, MR 86 34012
(Editors), ZM 501, 34048.
3.
E. K. Ifantis, P. D. Siafarikas and C. B. Kouris,
Conditions for Solutions of a Linear First Order Differential Equation in the
Hardy Lebesgue space and Applications, Math. Anal. Appl. Vol. 104(1984),
454-466 MR 86 34007 (R. Gerard), ZM 558, 34006. Referativnii J. Math. 7b174 (M. FEDOPHOK).
4.
P. D. Siafarikas, On the number of analytic solutions of a Singular Differential System, Complex Variables Vol. 4 (1984) 49-56, MR 86 34012 (William
Noble)ZM 517, 30031.
5.
P. D. Siafarikas, On the Conjugate equation of a Singular Differential operator, Bullet. Greek. Math. Soc. Vol. 28 (1987A), 103-109, MR 89c
34010 (Marian Muresan).
6.
E. K.Ifantis, P. D. Siafarikas and A. D. Jannussis,
Entire solutions of a second order Linear Differential Equation, Complex Variables Vol. 22 (1993), 23-26.
7.
E. N. Petropoulou and P. D. Siafarikas, Analytic solutions of
some non-linear ordinary differential equations, Dynam.
Systems Appl. 13 (2004), 283-316.
8.
E. N. Petropoulou and P. D. Siafarikas, Analytic solutions of the
Painleve equations, Commun.
Appl. Anal. 9 (3)
(2005), 1-18.
9.
E. N. Petropoulou, P. D. Siafarikas, Analytic
bounded travelling wave solutions of some nonlinear equations, Chaos, Solitons
and Fractals 33 (2007), 94-108.
10.
E. N. Petropoulou, P. D. Siafarikas and E. E. Tzirtzilakis,
A
"discretization" technique for the solution
of ODEs, J. Math. Anal. Appl. 331 (2007),
279-296.
11.
E. N. Petropoulou, P. D. Siafarikas, I.D. Stabolas, Analytic bounded travelling wave solutions of some nonlinear
equations II, Chaos, Solitons and Fractals, 41 (2009), 803-810.
12.
E. N. Petropoulou, P. D. Siafarikas
and E. E. Tzirtzilakis, A ``discretization" technique
for the solution of ODEs II, Numer.
Funct. Anal. Optim. 30
(5-6) (2009) 613-631.
Β. ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ ΜΕ ΜΕΡΙΚΕΣ ΠΑΡΑΓΩΓΟΥΣ
1.
E. N. Petropoulou and P. D. Siafarikas, Polynomial solutions of linear
partial differential equations, Commun. Pure Appl. Anal. 8 (3) (2009)
1053-1065.
ΙΙ. ΕΞΙΣΩΣΕΙΣ ΔΙΑΦΟΡΩΝ
Α. ΣΥΝΗΘΕΙΣ ΕΞΙΣΩΣΕΙΣ ΔΙΑΦΟΡΩΝ
1.
P. D. Siafarikas, A Singular Functional-Differential Equation, Intern. Journ. Math. Maths. Sciences
Vol. 5 (1982), 497-501. MR3 34086, (Author's Summary) ZM
488,34057.
2.
E. N. Petropoulou
and P. D. Siafarikas, Bounded solutions and
asymptotic stability of nonlinear difference equations in the complex plane, Archivum Mathematicum
(Brno) Vol. 36 (2) (2000), 139-158.
3.
E. N. Petropoulou
and P. D. Siafarikas, Bounded solutions and
asymptotic stability of nonlinear difference equations in the complex plane II, Computers and Mathematics with Applications (Special Issue:
Advances in Difference equations III) 42 (3-5) (2001), 427-452.
4.
E. N. Petropoulou
and P. D. Siafarikas, Existence
and uniqueness of solutions in H1(Δ) of a general class of non-linear functional equations, J.
Math. Anal. Appl. Vol. 279 (2) (2003), 452-463.
5.
E. N. Petropoulou and P. D. Siafarikas, A functional-analytic
method for the study of difference equations, Adv. Differ. Equat. 2004:3 (2004), 237-248.
6.
E. N. Petropoulou and P. D. Siafarikas, Existence of complex l2
solutions of linear delay systems of difference equations, J. Differ. Equat. Appl. 11 (2005), no.
1, 49-62.
Β. ΕΞΙΣΩΣΕΙΣ ΔΙΑΦΟΡΩΝ ΠΕΡΙΣΣΟΤΕΡΩΝ ΤΗΣ ΜΙΑΣ ΜΕΤΑΒΛΗΤΗΣ
1.
E. N. Petropoulou
and P. D. Siafarikas, Solutions
of non-linear delay and advanced partial difference equations in the space l1NxN,
Computers and Mathematics with Applications (Special Issue: Advances in
Difference equations IV), Vol. 45 (2003), 905-934.
2.
E. N. Petropoulou
and P. D. Siafarikas, Bounded
solutions of a class of linear delay and advanced partial difference equations,
Dynamic Systems and Applications, 10 (2) (2001), 243-260.
ΙΙΙ. ΕΙΔΙΚΕΣ ΣΥΝΑΡΤΗΣΕΙΣ
Α. ΣΥΝΑΡΤΗΣΕΙΣ BESSEL
1.
P. D. Siafarikas, A Lower Bound for the zeros of Ordinary Bessel functions, Proceedings
of VI Balkaniade of Young researchers (1982)
2.
E. K. Ifantis and P. D. Siafarikas, An Inequality related the zeros of two Ordinary
Bessel Functions, Applicable Analysis
Vol. 19 (1985) 251-263. MR 86 33009 (A. Laforgia), ZM 544, 33008.
3.
E. K. Ifantis and P. D. Siafarikas, A Differential Equation for the zeros of
Bessel Functions, Applicable Analysis
Vol. 20 (1985), 269-281, MR 87 33017 (M. E. Muldoon), ZM
553. 33004.
4.
E. K. Ifantis and P. D. Siafarikas, Ordering relations between the zeros of Miscellanous Bessel Functions, Applicable Analysis Vol. 23 (1986), 85 -110, MR 87M 33005 (M.E.
Muldoon).
5.
E. K. Ifantis and P. D. Siafarikas, A functional analytic approach for the
study of the zeros of Bessel functions, Linear Algebra Applications Vol.
84 ( 1986), 391-397.
6.
E. K. Ifantis, P. D. Siafarikas and C. B. Kouris, Upper
Bounds for the first zeros of Bessel Functions, J. Comp. Appl. Math. Vol. 17(1987), 355-358, CMP 19(10), 1987.
7.
E. K. Ifantis and P. D. Siafarikas, A Differential Equation for the positive
zeros of the function aJν(z)+zJν'(z), Zeitsc: Anal. Anwend.
(ZAA) Vol. 7 (2) (1988), 185-192. MR 89h 33009
(M.E. Muldoon).
8.
E. K. Ifantis and P. D. Siafarikas, Bounds for the first positive zero of a Mixed
Bessel function, J. Comp. Appl. Math.
Vol. 21 (1988), 245-249, MR 89i 33010 (Boro Doring).
9.
E. K. Ifantis, P. D. Siafarikas and C. B. Kouris, The
imaginary zeros of a Mixed Bessel Function, J.
Appl. Math. Phys. (ZAMP) Vol. 39 (1988), 157-165.
MR 89d 33012 (M.E. Muldoon).
10.
E. K. Ifantis
and P. D. Siafarikas, Inequalities
Involving Bessel and Modified Bessel Functions, J. Math. Anal. Appl. Vol. 147 (1990), 214-227. Referativnii J. 9b15 (1991) (C. Ckopoxodob).
11.
E. K. Ifantis
and P. D. Siafarikas, Differential
Inequalities for the positive zeros of Bessel Functions, J. Comp. Appl. Math. Vol. 30 (1990) 139-143.
12.
E. K. Ifantis
and P. D. Siafarikas, A result on the
imaginary zeros of Jν''(z), Jour. Approx.
Theory Vol. 62 (1990) 192-196. V Referativnii J.
1B17(1991) (C.CkopoxoDob).
13.
C. G. Kokologianaki,
and P. D. Siafarikas, Non existence of
complex and purely imaginary zeros of a Transcendental Equations Involving
Bessel Functions, Zeitsc.
Anal. Anwend. (ZAA)
Vol. 10, (1991), 563-567.
14.
E. K. Ifantis
and P. D. Siafarikas, Bounds of Modified Bessel
Functions, Rendic. Circolo. Math.
15.
A. Elbert and P. D. Siafarikas, On the zeros of aCν(x)+xCν'(x) where Cν(x) is a Cylinder Bessel Function, J. Math. Anal. Appl. Vol. 164 (1992), 21-33.
16.
C. G. Kokologianaki,
P. D. Siafarikas and C. B. Kouris,
On the complex zeros of Hμ(z), Jμ'(z), Jμ''(z) for real or
complex order, J. Comp. Appl. Math.
Vol. 40 ( 1992), 337-334.
17.
E. K. Ifantis
and P. D. Siafarikas, A Differential Inequality for the Positive
zeros of Bessel functions, J. Comp. Appl.
Math. Vol. 44 (1992), 115-120.
18.
C. G. Kokologiannaki,
P. D. Siafarikas, An Alternative proof
of the monotonicity of jν,1'', Vol. 1, Bollettino U.M.I. Vol. 7-A (1993), 373-376.
19.
C. G. Kokologiannaki,
M. E. Muldoon, P. D. Siafarikas, A Unimodal Property of Purely Imaginary zero of Bessel and
related functions, Canad.
Math. Bull. Vol. 37 (3) (1994), 365-373.
20.
A. Elbert and P. D. Siafarikas, On the square of the first zero of Bessel
functions, Canad.
Math. Bulletin Vol. 42 (1) (1999), 56 - 67.
21.
E. N. Petropoulou,
P. D. Siafarikas and I. D. Stabolas,
On the common zeros of Bessel
functions, J. Comput. Appl. Math. Vol. 153 (2003), 387-393.
Β. ΟΡΘΟΓΩΝΙΑ ΠΟΛΥΩΝΥΜΑ
1.
E. K. Ifantis and P. D. Siafarikas, Differential Inequalities on the greatest
zero of Laguerre and Ultraspherical
polynomials, Actas
del VI Simposium, Gijon, Spain (1989), 187-197.
2.
A. Laforgia and P. D. Siafarikas, Inequalities for the zeros of Ultraspherical Polynomials, in Orthogonal Polynomials and their applications, C. Brezinski et aIl
(Editors) IMACS, (1991), 327-330.
3.
E. K. Ifantis and P. D. Siafarikas, On the zeros of a class of Polynomials
Including the generalized Bessel Polynomials, open problem, J. Comput. Appl. Math. Vol. 48 (1993) 237-239.
4.
E. K. Ifantis and P. D. Siafarikas, On the zeros of a class of Polynomials
Including the generalized Bessel Polynomials, J.
Comp. Appl. Math. Vol. 49 (1993), 103-109.
5.
E. K. Ifantis and P. D. Siafarikas, Perturbation of the coefficients in the
recurrence relation of a class of polynomials, J. Comp. Appl. Math. Vol. 57 (1995), 163-170.
6.
E. K. Ifantis and P. D. Siafarikas, Differential Inequalities and Monotonicity Properties of the zeros of Associated Languerre and Hermite Polynomials, Ann. Numer. Math. Vol. 2 (1995),
79-91.
7.
P. D. Siafarikas, A note on the Generating Functions, Bullet.
Greek Math. Soc. Vol. 36 (1995), 93-96.
8.
E. K. Ifantis and P. D. Siafarikas, An Alternative Proof of a Theorem of Stieltjes and related results, J. Comp. Appl. Math. Vol. 65 (1995), 165-172.
9.
C. G. Kokologiannaki and P. D. Siafarikas,
Convexity of the largest zero of the Ultraspherical
Polynomials, Integral Transforms and
Special functions Vol. 4 (3) (1996), 275-278.
10.
E. K. Ifantis,
C. G. Kokologiannaki and P. D. Siafarikas,
Newton Sum rules and Monotonicity Properties
of the Zeros of Scaled co-recursive Associated Polynomials, Meth. Appl. Anal. Vol. 3(4) (1996), 486-497.
11.
P. D. Siafarikas,
On the zeros of the
associated ultraspherical polynomials, In: Funzioni Speciali e Applicazioni, Edts A. Bellacicco and A. Laforgia, FrancoAngeli, S.r.l. Milano,
Italy, (1998).
12.
A. Elbert and P. D. Siafarikas, Monotonicity Properties of the zeros of Ultraspherical Polynomials, J. Approx. Theory Vol. 97 (1999), 31-39.
13.
P. D. Siafarikas, Inequalities for the zeros of the associated Ultraspherical
Polynomials, Math. Inequal. and Applications Vol. 2 (2) (1999), 233-241.
14.
A. Elbert, A. Laforgia and P. D. Siafarikas,
A conjecture on the zeros of ultraspherical
polynomials, Open Problem, J. Comp. Appl. Math. (Special Issue:
Orthogonal Polynomials, Special Functions and their Applications), 133 (1-2)
(2001), 684-686.
15.
P. D. Siafarikas, Finding a measure of orthogonality, Open
Problem, J. Comp. Appl. Math. (Special Issue: Orthogonal Polynomials,
Special Functions and their Applications), 133 (1-2) (2001), 697-699.
16.
E. K. Ifantis,
P. D. Siafarikas, A counterexample
to an assertion due to Blumenthal. Univ. Iagel. Acta Math. Vol.. 39 (2001), 249-254.
17.
E. J. Ifantis,
C. G. Kokologiannaki and P. D. Siafarikas,
On the support of the measure of orthogonality
of a class of orthogonal polynomials, Applied
Mathematics and Computation Vol. 128 (2-3) (2002),
275-288.
18.
A. Laforgia,
M. Muldoon and P. D. Siafarikas, Arpad Elbert,
1393-2001: a memorial tribute, J. Comput. Appl. Math. Vol. 153 (2003), 1-8.
19.
C. G. Kokologiannaki,
P. D. Siafarikas, I. D. Stabolas,
Monotonicity properties and
inequalities of the zeros of q-associated polynomials, Nonlinear analysis and applications: to V. Lakshmikantham on his 80th birthday. Vol. 1, 2, 671--726, Kluwer Acad. Publ.,
20.
E. N. Petropoulou, P. D. Siafarikas and I. D. Stabolas,
Convexity results for the largest zero and functions
involving the largest zero of $q-$ associated polynomials, Integral
Transform. Spec. Funct., 16 (2005), no.
2, 171-178.
21.
P. D. Siafarikas, I. D. Stabolas and L.
Velazquez, Differential inequalities of functions involving
the lowest zero of some associated
orthogonal q-polynomials, Integral Transform. Spec. Funct.,
16 (2005), no.
4, 337-376.
22.
C. G. Kokologiannaki, P. D. Siafarikas and I. D. Stabolas,
IV. ΘΕΩΡΙΑ ΤΕΛΕΣΤΩΝ
1.
P. D. Siafarikas, An Operator Inequality, Inter.
Journ. Math. Maths. Sciences Vol. 7 (1984)
205-207, MR 47003 (Gerhard Garske).
V. ΜΑΘΗΜΑΤΙΚΗ ΦΥΣΙΚΗ
1.
Jannussis, L. Papaloukas, and P. D. Siafarikas, Eigenfuctions and Eigenvalues of
the Differential Operators, Hadronic
Journal Vol. 3 (1980), 1622-1632, MR 82g 81029 (R. C. Cilbert),
ZM 447, 47027.
2.
Jannussis, G. Brodimas, D. Sourlas,
L. Papaloukas, P. Poulopoulos,
and P. D. Siafarikas, Generalized q-Bose
Operators, Letter. Nuovo Cimento
Vol. 34 (12), (1982), 375 - 379, MR 83M 81046 (F. R. Helbern).
3.
Jannussis, G. Brodimas, D. Sourlas,
A. Streklas, P. Siafarikas,
L. Papaloukas and N.Tsangas,
Foundations of Lie-Admissible Fock space of
the Hadronic Mechanics, Hadronic Journal Vol. 5 (1982),
1923-1947 MRb 81049 (Jean Fronteau),
ZM 514. 17008.
4.
P. D. Siafarikas, A. Jannussis, G. Brodimas,
L. Papaloukas, q-Algebra without Interaction, Letter.
Nuovo Cimento Vol. 37
(1983), 119-123, MR 84 81082 (A. Barut).
5.
A. Jannussis,
G. Brodimas, D. Sourlas, K.
Vlachos, P. D. Siafarikas and L. Papaloucas, Some properties of q-Analysis and
Applications to non-canonical Mechanics, Hadronic Journal Vol. 6 (1983) 1653-1686, MR
85b 70021 (P. Achuthan) ZM.
557 70027.
6.
A. Jannussis,
G. Karayannis, P. Panagopoulos, V. Papatheou, M. Symeonidis, D. Vavougios, P.Siafarikas
and V. Zisis, Exactly Soluble
Harmonic Oscillator for a Particular Form of Time and Coordinates-Dependent
Mass, Journal of the Physical Society of Japan
Vol. 53 (3) (1984), 957 - 962.
7.
A. Jannussis,
P. Filippakis, V. Papatheou,
A. Leodaris, P. Siafarikas,
V. Zisis and N. Tsangas, Damped and
Coupled Oscillators, Hadronic
Journal Vol. 7 (1984), 1515 - 1534.