全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Eugenia N. Petropoulou
来源:[J].Electronic Journal of Differential Equations(IF 0.426), 2015, Vol.2015 (201,), pp.1-18DOAJ
摘要:We study a class of nonlinear partial differential equations,which can be connected with wave-type equations and Laplace-type equations,by using a functional-analytic technique.We establish primarily the existence and uniqueness of boundedsolutions in the two-dimensional Hardy-Le...
作者:Eugenia N. Petropoulou
来源:[J].Abstract and Applied Analysis(IF 1.102), 2010, Vol.2010DOAJ
摘要:The complex zeros of the orthogonal Laguerre polynomials Ln(a)(x) for a<-n, ultraspherical polynomials Pn(λ)(x) for λ<-n, Jacobi polynomials Pn(a,β)(x) for a<-n, β<-n, a+β<-2(n+1), orthonormal Al-Salam-Carlitz II polynomials Pn(a)(x;q) for a<0, 0...
作者:Eugenia N. Petropoulou
来源:[J].Abstract and Applied Analysis(IF 1.102), 2005, Vol.2005 (8), pp.855DOAJ
摘要:Sufficient conditions are given so that the initial value problem for the Shabat equation has a unique analytic solution, which, together with its first derivative, converges absolutely for z∈ℂ:|z|0. Moreover, a bound of this solution is given. The ...
作者:Eugenia N. Petropoulou
来源:[J].Abstract and Applied Analysis(IF 1.102), 2005, Vol.2005 (8), pp.855-862DOAJ
摘要:Sufficient conditions are given so that the initial value problemfor the Shabat equation has a unique analytic solution, which,together with its first derivative, converges absolutely for z∈ℂ:|z|0. Moreover, a bound of this solutionis given. The sufficient conditions i...
作者:Eugenia N. Petropoulou , Dimitris Rizos
来源:[J].Abstract and Applied Analysis(IF 1.102), 2016, Vol.2016Hindawi
摘要:The aim of this paper is to connect the zeros of polynomials in two variables with the eigenvalues of a self-adjoint operator. This is done by use of a functional-analytic method. The polynomials in two variables are assumed to satisfy a five-term recurrence relation, similar to ...
作者:Eugenia N. Petropoulou , L. Velázquez
来源:[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2014, Vol.420 (1), pp.852-872Elsevier
摘要:Abstract(#br)This paper addresses two different but related questions regarding an unbounded symmetric tridiagonal operator: its self-adjointness and the approximation of its spectrum by the eigenvalues of its finite truncations. The sufficient conditions given in both cases impr...
作者:Eugenia N. Petropoulou , Efstratios E. Tzirtzilakis
来源:[J].Numerical Functional Analysis and Optimization(IF 0.5), 2013, Vol.34 (7), pp.770-790Taylor & Francis
摘要:The famous logistic differential equation is studied in the complex plane. The method used is based on a functional analytic technique which provides a unique solution of the ordinary differential equation (ODE) under consideration in H 2(&#𝔻;) or H 1(...
作者:Chrysi G. Kokologiannaki , Eugenia N. Petropoulou
来源:[J].Integral Transforms and Special Functions(IF 0.73), 2013, Vol.24 (7), pp.540-547Taylor & Francis
摘要:The zeros of J ″′ν( x ) are studied by using classical analysis and the properties of J ν( x ). It is proved that J ″′ν( x ) has infinite positive zeros and between two consecutive positive zeros of J ν( x ), there exist ...
作者:Eugenia N. Petropoulou , Panayiotis D. Siafarikas , Ioannis D. Stabolas
来源:[J].Integral Transforms and Special Functions(IF 0.73), 2005, Vol.16 (2), pp.171-178Taylor & Francis
摘要:We prove the convexity of the largest zero of the q-Lommel, the associated AL-Salam Carlitz II and the q-associated Laguerre polynomials as well as the convexity of products of certain functions with the largest zero of the q-associated Laguerre polynomials and associated Al...
作者:Eugenia N. Petropoulou , Panayiotis D. Siafarikas , Efstratios E. Tzirtzilakis
来源:[J].Numerical Functional Analysis and Optimization(IF 0.5), 2009, Vol.30 (5-6), pp.613-631Taylor & Francis
摘要:A functional analytic technique was recently presented for finding discrete equivalent counterparts of initial value problems of ODEs and obtaining their real analytic solutions. In the current paper, this technique is extended to boundary value problems of ODEs and to the comple...

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