PUBLICAZIONI PER AREA DI
RICERCA
É. EQUAZIONI
DIFFERENZIALI
Á. EQUAZIONI
DIFFERENZIALI ORDINARI
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.
Â. EQUAZIONI DIFFERENZIALI
PARTIALI
1.
E. N. Petropoulou and P. D.
Siafarikas, Polynomial solutions of linear
partial differential equations, Commun. Pure Appl. Anal. 8 (3) (2009)
1053-1065.
ÉÉ. EQUAZIONI ALLE DIFFERENZE
Á. EQUAZIONI ALLE DIFFERENZE ORDINARI
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(Ä)
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.
Â. EQUAZIONI ALLE DIFFERENZE PARTIALI
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.
ÉÉÉ. FUNZIONI SPECIALI
Á. FUNCTIONI 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 aJí(z)+zJí'(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 Jí''(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 aCí(x)+xCí'(x) where Cí(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 Hì(z), Jì'(z),
Jì''(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 jí,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.
Â. POLINOMI ORTOGONALI
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. TEORIA DI
OPERANDI
1.
P. D. Siafarikas, An Operator Inequality, Inter.
Journ. Math. Maths. Sciences Vol. 7 (1984) 205-207, MR 47003 (Gerhard
Garske).
V. PHYSICA MATEMATICA
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.