Zayed, Elsayed M. E. On the dynamics of a new nonlinear rational difference equation. (English) Zbl 1443.39010 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 27, No. 2, 153-165 (2020). MSC: 39A30 39A22 39A10 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 27, No. 2, 153--165 (2020; Zbl 1443.39010) Full Text: Link
Zayed, E. M. E. Coercive estimates and separation for partial differential operators in Hilbert spaces associated with the existence and uniqueness theorem. (English) Zbl 1469.35100 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 24, No. 4, 249-263 (2017). MSC: 35J15 35B45 47F05 58J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 24, No. 4, 249--263 (2017; Zbl 1469.35100) Full Text: Link
Zayed, E. M. E. Inequalities and separation for a biharmonic Laplace-Beltrami differential operator in a Hilbert space associated with the existence and uniqueness theorem. (English) Zbl 1363.47091 J. Partial Differ. Equations 29, No. 1, 59-70 (2016). MSC: 47F05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Partial Differ. Equations 29, No. 1, 59--70 (2016; Zbl 1363.47091) Full Text: DOI
Zayed, Elsayed M. E. Dynamics of a higher order nonlinear rational difference equation. (English) Zbl 1334.39008 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 23, No. 2, 143-152 (2016). MSC: 39A10 39A12 39A99 34C99 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 23, No. 2, 143--152 (2016; Zbl 1334.39008) Full Text: Link Link
Zayed, Elsayed M. E. Inequalities and separation for a biharmonic elliptic partial differential equation in the weighted Hilbert space with an application. (English) Zbl 1334.47046 Panam. Math. J. 25, No. 4, 95-108 (2015). MSC: 47F05 58J99 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Panam. Math. J. 25, No. 4, 95--108 (2015; Zbl 1334.47046)
Zayed, Elsayed M. E. Separation for a biharmonic higher-order ordinary differential equation in a Hilbert space associated with an existence and uniqueness theorem. (English) Zbl 1338.47055 Commun. Appl. Nonlinear Anal. 22, No. 3, 25-33 (2015). MSC: 47F05 34B24 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Commun. Appl. Nonlinear Anal. 22, No. 3, 25--33 (2015; Zbl 1338.47055)
Zayed, E. M. E. On the separation for a biharmonic general elliptic differential operator in a weighted Hilbert space with its applications to an existence and uniqueness theorem. (English) Zbl 1339.47063 Adv. Nonlinear Var. Inequal. 18, No. 2, 77-90 (2015). MSC: 47F05 31B30 35J30 35A01 35A02 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Adv. Nonlinear Var. Inequal. 18, No. 2, 77--90 (2015; Zbl 1339.47063)
Zayed, E. M. E. Separation for an elliptic differential operator in a weighted Hilbert space with its application to an existence and uniqueness theorem. (English) Zbl 1369.47058 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 22, No. 5, 409-421 (2015). MSC: 47F05 58J99 47A50 35J99 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 22, No. 5, 409--421 (2015; Zbl 1369.47058) Full Text: Link
Zayed, Elsayed M. E. On the dynamics of the nonlinear rational difference equation. (English) Zbl 1308.39007 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 22, No. 1, 61-71 (2015). MSC: 39A10 39A12 39A99 34C99 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 22, No. 1, 61--71 (2015; Zbl 1308.39007) Full Text: Link Link
Zayed, Elsayed M. E. New explicit forms of traveling waves for vibrational dynamics of DNA using a direct integral method. (English) Zbl 1305.35013 Commun. Appl. Nonlinear Anal. 21, No. 2, 97-104 (2014). MSC: 35C08 35C07 35Q92 35L70 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Commun. Appl. Nonlinear Anal. 21, No. 2, 97--104 (2014; Zbl 1305.35013)
Zayed, E. M. E. The modified simple equation method for two nonlinear PDEs with power law and Kerr law nonlinarity. (English) Zbl 1293.35068 Panam. Math. J. 24, No. 1, 65-74 (2014). MSC: 35C05 35Q55 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Panam. Math. J. 24, No. 1, 65--74 (2014; Zbl 1293.35068)
Zayed, E. M. E. The modified simple equation method and its applications for solving nonlinear evolution equations in mathematical physics. (English) Zbl 1293.35067 Commun. Appl. Nonlinear Anal. 20, No. 3, 95-104 (2013). MSC: 35C05 35P05 35A25 35C08 35Q53 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Commun. Appl. Nonlinear Anal. 20, No. 3, 95--104 (2013; Zbl 1293.35067)
Zayed, Elsayed M. E. On the rational recursive sequence. (English) Zbl 1251.39008 Acta Math. Vietnam. 37, No. 2, 251-266 (2012). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A20 39A22 39A23 39A30 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Acta Math. Vietnam. 37, No. 2, 251--266 (2012; Zbl 1251.39008)
Zayed, E. M. E. Observations on a further improved \((\frac {G'}G)\)- expansion method and the extended tanh-method for finding exact solutions of nonlinear PDEs. (English) Zbl 1238.65101 J. Appl. Math. Inform. 30, No. 1-2, 253-264 (2012). MSC: 65M70 35Q35 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Appl. Math. Inform. 30, No. 1--2, 253--264 (2012; Zbl 1238.65101)
Zayed, Elsayed M. E. A note on the modified simple equation method applied to Sharma-Tasso-Olver equation. (English) Zbl 1239.35170 Appl. Math. Comput. 218, No. 7, 3962-3964 (2011). MSC: 35Q92 35Q51 35A24 35C08 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 218, No. 7, 3962--3964 (2011; Zbl 1239.35170) Full Text: DOI
Zayed, E. M. E. Dynamics of the rational difference equation \(x_{n+1}=Ax_n+Bx_{n-k}+\frac{ax_n+bx_{n-k}}{c+dx_nx_{n-k}}\). (English) Zbl 1262.39016 Commun. Appl. Nonlinear Anal. 18, No. 4, 39-56 (2011). Reviewer: M. Serban (Cluj-Napoca) MSC: 39A20 39A22 39A30 39A23 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Commun. Appl. Nonlinear Anal. 18, No. 4, 39--56 (2011; Zbl 1262.39016)
Zayed, E. M. E. The \((\frac{G'}{G})\)-expansion method combined with the Riccati equation for finding exact solutions of nonlinear PDEs. (English) Zbl 1234.35058 J. Appl. Math. Inform. 29, No. 1-2, 351-367 (2011). MSC: 35C07 35Q53 35Q51 35A25 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Appl. Math. Inform. 29, No. 1--2, 351--367 (2011; Zbl 1234.35058)
Zayed, Elsayed M. E. A further improved \((\frac{G'}{G})\)-expansion method and the extended tanh-method for finding exact solutions of nonlinear PDEs. (English) Zbl 1228.35210 WSEAS Trans. Math. 10, No. 2, 56-64 (2011). MSC: 35Q53 35C07 37K10 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, WSEAS Trans. Math. 10, No. 2, 56--64 (2011; Zbl 1228.35210) Full Text: Link
Zayed, E. M. E. Traveling wave solutions for higher dimensional nonlinear evolution equations using the \((\frac{G'}{G})\)-expansion method. (English) Zbl 1228.35014 J. Appl. Math. Inform. 28, No. 1-2, 383-395 (2010). MSC: 35A25 35P05 35C07 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Appl. Math. Inform. 28, No. 1--2, 383--395 (2010; Zbl 1228.35014)
Zayed, Elsayed M. Dynamics of the nonlinear rational difference equation \(x_{n+1}=Ax_n+Bx_{n-k}+\frac{px_n+x_{n-k}}{q+x_{n-k}}\). (English) Zbl 1213.39014 Eur. J. Pure Appl. Math. 3, No. 2, 254-268 (2010). MSC: 39A20 39A23 39A30 PDFBibTeX XMLCite \textit{E. M. Zayed}, Eur. J. Pure Appl. Math. 3, No. 2, 254--268 (2010; Zbl 1213.39014) Full Text: Link
Zayed, E. M. E. The (\(\frac{G'}{G})\)-expansion method and its applications to some nonlinear evolution equations in the mathematical physics. (English) Zbl 1180.35023 J. Appl. Math. Comput. 30, No. 1-2, 89-103 (2009). MSC: 35A25 35K99 35P05 35C07 35C08 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Appl. Math. Comput. 30, No. 1--2, 89--103 (2009; Zbl 1180.35023) Full Text: DOI
Zayed, E. M. E. New traveling wave solutions for higher dimensional nonlinear evolution equations using a generalized \((\frac{G'}{G})\)-expansion method. (English) Zbl 1170.35310 J. Phys. A, Math. Theor. 42, No. 19, Article ID 195202, 13 p. (2009). MSC: 35A25 35Q53 35C05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Phys. A, Math. Theor. 42, No. 19, Article ID 195202, 13 p. (2009; Zbl 1170.35310) Full Text: DOI
Zayed, E. M. E. Separation for the biharmonic differential operator in the Hilbert space associated with the existence and uniqueness theorem. (English) Zbl 1121.47063 J. Math. Anal. Appl. 337, No. 1, 659-666 (2008). Reviewer: Dagmar Medková (Praha) MSC: 47N20 35J30 47F05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Math. Anal. Appl. 337, No. 1, 659--666 (2008; Zbl 1121.47063) Full Text: DOI
Zayed, E. M. E. The 3D inverse problem of the wave equation for a general multi-connected vibrating membrane with a finite number of piecewise smooth boundary conditions. (English) Zbl 1088.35557 Acta Math. Sin., Engl. Ser. 21, No. 4, 733-752 (2005). MSC: 35R30 35P05 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Acta Math. Sin., Engl. Ser. 21, No. 4, 733--752 (2005; Zbl 1088.35557) Full Text: DOI
Zayed, E. M. E. The 3D inverse problem of the heat equation for a multi-connected bounded region with applications in mathematical physics. (English) Zbl 1081.35157 Panam. Math. J. 15, No. 4, 37-58 (2005). MSC: 35R30 35P20 35K05 35C20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Panam. Math. J. 15, No. 4, 37--58 (2005; Zbl 1081.35157)
Zayed, E. M. E. Short-time asymptotics of the two-dimensional wave equation for an annular vibrating membrane with piecewise smooth boundary conditions. (English) Zbl 1286.35176 Bull. Greek Math. Soc. 49, 75-84 (2004). MSC: 35P05 35C20 35L05 35R30 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Bull. Greek Math. Soc. 49, 75--84 (2004; Zbl 1286.35176)
Zayed, E. M. E. Inverse eigenvalue problems with applications in the mathematical physics. (English) Zbl 1064.35211 Panam. Math. J. 14, No. 4, 69-91 (2004). MSC: 35R30 35J25 35K15 35P20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Panam. Math. J. 14, No. 4, 69--91 (2004; Zbl 1064.35211)
Zayed, E. M. E. Short-time asymptotics of the heat kernel on bounded domain with piecewise smooth boundary conditions and its applications to an ideal gas. (English) Zbl 1064.35210 Panam. Math. J. 14, No. 2, 85-106 (2004). MSC: 35R30 35J25 35P20 35K15 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Panam. Math. J. 14, No. 2, 85--106 (2004; Zbl 1064.35210)
Zayed, E. M. E. Short-time asymptotics of the heat kernel on bounded domain with piecewise smooth boundary conditions and its applications to an ideal gas. (English) Zbl 1071.35129 Acta Math. Appl. Sin., Engl. Ser. 20, No. 2, 215-230 (2004). MSC: 35R30 35P20 35K05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Acta Math. Appl. Sin., Engl. Ser. 20, No. 2, 215--230 (2004; Zbl 1071.35129) Full Text: DOI
Zayed, E. M. E. The asymptotics of the two-dimensional wave equation for a general multi-connected vibrating membrane with piecewise smooth Robin boundary conditions. (English) Zbl 1062.35183 Acta Math. Sin., Engl. Ser. 20, No. 2, 209-222 (2004). MSC: 35R30 74K15 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Acta Math. Sin., Engl. Ser. 20, No. 2, 209--222 (2004; Zbl 1062.35183) Full Text: DOI
Zayed, E. M. E. An inverse eigenvalue problem of the wave equation for a multi-connected region in \(\mathbb{R}^{2}\) together with three different types of boundary conditions. (English) Zbl 1054.65113 Appl. Math. Comput. 154, No. 2, 361-388 (2004). MSC: 65N21 65N25 35J05 35P15 35R30 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 154, No. 2, 361--388 (2004; Zbl 1054.65113) Full Text: DOI
Zayed, E. M. E. Short-time asymptotics of the two-dimensional wave equation for an annular vibrating membrane with applications in the mathematical physics. (English) Zbl 1069.35049 Chaos Solitons Fractals 19, No. 3, 679-688 (2004). MSC: 35P20 58J45 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Chaos Solitons Fractals 19, No. 3, 679--688 (2004; Zbl 1069.35049) Full Text: DOI
Zayed, E. M. E. The wave equation approach for solving inverse eigenvalue problems of a multi-connected region in \({\mathbb R}^{3}\) with Robin conditions. (English) Zbl 1033.35153 Appl. Math. Comput. 147, No. 3, 721-739 (2004). MSC: 35R30 35P05 35L05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 147, No. 3, 721--739 (2004; Zbl 1033.35153) Full Text: DOI
Zayed, E. M. E. An inverse problem of the three-dimensional wave equation for a general annular vibrating membrane with piecewise smooth boundary conditions. (English) Zbl 1055.35145 J. Appl. Math. Comput. 12, No. 1-2, 81-105 (2003). MSC: 35R30 35P20 35J25 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Appl. Math. Comput. 12, No. 1--2, 81--105 (2003; Zbl 1055.35145) Full Text: DOI
Zayed, E. M. E. An inverse problem of the three-dimensional wave equation for a general annular vibrating membrane. (English) Zbl 1047.35134 Indian J. Pure Appl. Math. 34, No. 10, 1407-1418 (2003). MSC: 35R30 35P05 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Indian J. Pure Appl. Math. 34, No. 10, 1407--1418 (2003; Zbl 1047.35134)
Zayed, E. M. E. Inverse problems of boundary value problems for annular vibrating membranes with piecewise smooth positive functions in the boundary conditions. (English) Zbl 1044.35111 Appl. Anal. 82, No. 9, 905-925 (2003). MSC: 35R30 35P20 35J25 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Anal. 82, No. 9, 905--925 (2003; Zbl 1044.35111) Full Text: DOI
Zayed, E. M. E. Asymptotic expansions of the heat kernel of the Laplacian for general annular bounded domains with Robin boundary conditions: Further results. (English) Zbl 1045.35106 Acta Math. Sin., Engl. Ser. 19, No. 4, 679-694 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35R30 35C20 35K05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Acta Math. Sin., Engl. Ser. 19, No. 4, 679--694 (2003; Zbl 1045.35106) Full Text: DOI
Zayed, E. M. E. An inverse problem for the three-dimensional multi-connected vibrating membrane with Robin boundary conditions. (English) Zbl 1033.35150 Q. Appl. Math. 61, No. 2, 233-249 (2003). MSC: 35R30 35P20 35J40 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Q. Appl. Math. 61, No. 2, 233--249 (2003; Zbl 1033.35150) Full Text: DOI
Zayed, E. M. E. Inverse problems for a general multi-connected bounded drum with applications in physics. (English) Zbl 1102.35367 Appl. Math. Comput. 139, No. 2-3, 231-248 (2003). MSC: 74G75 74F10 35S10 35Q35 35K08 35R30 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 139, No. 2--3, 231--248 (2003; Zbl 1102.35367) Full Text: DOI
Zayed, E. M. E. The wave equation approach to an inverse problem for a general multi-connected domain in \(\mathbb{R}^{2}\) with mixed boundary conditions. (English) Zbl 1033.35154 Appl. Math. Comput. 144, No. 2-3, 457-474 (2003). MSC: 35R30 35L05 35P20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 144, No. 2--3, 457--474 (2003; Zbl 1033.35154) Full Text: DOI
Zayed, E. M. E. Higher dimensional inverse problem for a multi-connected bounded domain with piecewise smooth Robin boundary conditions and its physical applications. (English) Zbl 1033.35151 Appl. Math. Comput. 144, No. 2-3, 365-379 (2003). MSC: 35R30 35P20 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 144, No. 2--3, 365--379 (2003; Zbl 1033.35151) Full Text: DOI
Zayed, E. M. E. Inverse problems for a general multi-connected bounded drum with applications in physics. (English) Zbl 1020.35121 Acta Math. Sci., Ser. B, Engl. Ed. 23, No. 1, 104-116 (2003). MSC: 35R30 35P20 35Q35 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Acta Math. Sci., Ser. B, Engl. Ed. 23, No. 1, 104--116 (2003; Zbl 1020.35121) Full Text: DOI
Zayed, E. M. E. Higher dimensional inverse problem of the wave equation for a general multi-connected bounded domain with a finite number of smooth mixed boundary conditions. (English) Zbl 1033.35152 Appl. Math. Comput. 136, No. 1, 161-180 (2003). MSC: 35R30 35L05 35P20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 136, No. 1, 161--180 (2003; Zbl 1033.35152) Full Text: DOI
Zayed, E. M. E. On hearing the shape of a general multi-connected vibrating membrane in \(\mathbb R^2\) with piecewise smooth positive functions in the Robin boundary conditions. (English) Zbl 1135.35369 Appl. Math. Comput. 135, No. 2-3, 361-375 (2003). MSC: 35R30 35P25 58J35 58J53 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 135, No. 2--3, 361--375 (2003; Zbl 1135.35369) Full Text: DOI
Zayed, E. M. E. An inverse problem for the three-dimensional multi-connected vibrating membrane with Robin boundary conditions. (English) Zbl 1033.35149 Appl. Math. Comput. 132, No. 2-3, 515-535 (2002). MSC: 35R30 35P05 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 132, No. 2--3, 515--535 (2002; Zbl 1033.35149) Full Text: DOI
Zayed, E. M. E. An inverse problem for a general annular-bounded domain in \(\mathbb R^ 2\) with mixed boundary conditions and its physical applications. (English) Zbl 1033.35147 Appl. Math. Comput. 129, No. 2-3, 237-267 (2002). MSC: 35R30 35L05 35P20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 129, No. 2--3, 237--267 (2002; Zbl 1033.35147) Full Text: DOI
Zayed, E. M. E. An inverse problem for a general vibrating annular membrane in \(\mathbb R^ 3\) with its physical applications: further results. (English) Zbl 1033.35148 Appl. Math. Comput. 129, No. 2-3, 203-235 (2002). MSC: 35R30 35L05 35Q40 35P20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Math. Comput. 129, No. 2--3, 203--235 (2002; Zbl 1033.35148) Full Text: DOI
Zayed, E. M. E. Eigenfunction expansions for eigenvalue problem with eigenvalue parameter contained in the elliptic equation and the boundary conditions. (English) Zbl 1152.35453 Panam. Math. J. 12, No. 2, 89-100 (2002). Reviewer: Christiane Tretter (MR1895773) MSC: 35P20 47F05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Panam. Math. J. 12, No. 2, 89--100 (2002; Zbl 1152.35453)
Zayed, E. M. E. Short-time asymptotics of the heat kernel of the Laplacian for a multiply-connected domain in \(\mathbf R^ 2\) with Robin boundary conditions. (English) Zbl 1068.35034 Appl. Anal. 77, No. 1-2, 177-194 (2001). MSC: 35J05 35P05 35R30 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Anal. 77, No. 1--2, 177--194 (2001; Zbl 1068.35034) Full Text: DOI
Zayed, E. M. E. On hearing the shape of the three-dimensional multi-connected vibrating membrane with piecewise smooth boundary conditions. (English) Zbl 1020.35122 Appl. Anal. 79, No. 1-2, 187-216 (2001). MSC: 35R30 35P05 35P20 35Q35 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Anal. 79, No. 1--2, 187--216 (2001; Zbl 1020.35122) Full Text: DOI
Zayed, E. M. E. An inverse problem of the heat equation for a general multi-connected drum with applications in physics. (English) Zbl 1064.35521 Chaos Solitons Fractals 12, No. 10, 1861-1871 (2001). MSC: 35R30 35P20 35J25 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Chaos Solitons Fractals 12, No. 10, 1861--1871 (2001; Zbl 1064.35521) Full Text: DOI
Zayed, E. M. E. Short-time asymptotics of the heat kernel of the Laplacian for a multiply-connected domain in \(\mathbb{R}^ 2\) with Robin boundary conditions. (English) Zbl 1033.35030 Appl. Anal. 77, No. 1-2, 177-194 (2001). Reviewer: J. Eichhorn (Greifswald) MSC: 35J25 35R30 35J05 35P05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Anal. 77, No. 1--2, 177--194 (2001; Zbl 1033.35030) Full Text: DOI
Zayed, E. M. E. An inverse problem for a general annular drum with positive smooth functions in the Robin boundary conditions. (English) Zbl 0972.35191 Collect. Math. 51, No. 3, 261-275 (2000). MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Collect. Math. 51, No. 3, 261--275 (2000; Zbl 0972.35191) Full Text: EuDML
Zayed, E. M. E. The asymptotics of the heat semigroup for a general bounded domain with mixed boundary conditions. (English) Zbl 0973.35089 Acta Math. Sin., Engl. Ser. 16, No. 4, 627-636 (2000). MSC: 35K20 35P05 47D06 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Acta Math. Sin., Engl. Ser. 16, No. 4, 627--636 (2000; Zbl 0973.35089) Full Text: DOI
Zayed, E. M. E. Inverse problem for a general bounded domain in \(\mathbb{R}^3\) with piecewise smooth mixed boundary conditions. (English) Zbl 0968.35131 Int. J. Theor. Phys. 39, No. 1, 189-205 (2000). Reviewer: W.Ring MSC: 35R30 35J05 35P20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Int. J. Theor. Phys. 39, No. 1, 189--205 (2000; Zbl 0968.35131) Full Text: DOI
Zayed, E. M. E. On hearing the shape of a bounded domain with Robin boundary conditions. (English) Zbl 0951.35105 IMA J. Appl. Math. 64, No. 1, 95-108 (2000). Reviewer: M.L.Mehra (Bornheim) MSC: 35P20 35J25 82D05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, IMA J. Appl. Math. 64, No. 1, 95--108 (2000; Zbl 0951.35105) Full Text: DOI
Zayed, E. M. E. An inverse problem for a general multiply connected bounded domain: An extension to higher dimensions. (English) Zbl 1026.35090 Appl. Anal. 72, No. 1-2, 27-41 (1999). MSC: 35P20 35R30 58J37 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Anal. 72, No. 1--2, 27--41 (1999; Zbl 1026.35090) Full Text: DOI
Zayed, E. M. E. Short-time asymptotics of the spectral distribution of the wave equation in \(\mathbb{R}^3\) for a multiply connected domain with Robin boundary conditions. (English) Zbl 0935.35110 Bull. Greek Math. Soc. 41, 139-153 (1999). MSC: 35P20 35B30 35J15 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Bull. Greek Math. Soc. 41, 139--153 (1999; Zbl 0935.35110)
Zayed, E. M. E. Short-time asymptotics of the heat kernel of the Laplacian of a general doubly connected domain in \(\mathbb{R}^2\) with Robin boundary conditions. (English) Zbl 0920.35031 Soochow J. Math. 25, No. 1, 71-89 (1999). MSC: 35B40 35P05 35K10 35J25 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Soochow J. Math. 25, No. 1, 71--89 (1999; Zbl 0920.35031)
Zayed, E. M. E. Short-time asymptotics of the heat kernel of the Laplacian of a bounded domain with Robin boundary conditions. (English) Zbl 0966.35032 Houston J. Math. 24, No. 2, 377-385 (1998). MSC: 35J05 35C20 35J25 58J37 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Houston J. Math. 24, No. 2, 377--385 (1998; Zbl 0966.35032)
Zayed, E. M. E. Short-time asymptotics of the spectral distribution of the wave equation in \(\mathbb{R}^3\) for a multiply connected domain with Robin boundary conditions. (English) Zbl 0958.58028 Bol. Soc. Parana. Mat. (2) 18, No. 1-2, 35-45 (1998). Reviewer: Mircea Puta (Timişoara) MSC: 58J50 35K05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Bol. Soc. Parana. Mat. (2) 18, No. 1--2, 35--45 (1998; Zbl 0958.58028)
Zayed, E. M. E. An inverse problem for a general doubly-connected bounded domain: An extension to higher dimensions. (English) Zbl 0899.35124 Tamkang J. Math. 28, No. 4, 277-295 (1997). MSC: 35R30 35J05 35P05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Tamkang J. Math. 28, No. 4, 277--295 (1997; Zbl 0899.35124)
Zayed, E. M. E. Eigenvalues of the negative Laplacian for simply connected bounded domains. (English) Zbl 0881.35086 Acta Math. Sin., New Ser. 13, No. 3, 337-346 (1997). MSC: 35P20 35J05 35R05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Acta Math. Sin., New Ser. 13, No. 3, 337--346 (1997; Zbl 0881.35086) Full Text: DOI
Zayed, E. M. E. Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions. (English) Zbl 0891.35163 Int. J. Math. Math. Sci. 20, No. 2, 397-402 (1997). MSC: 35R30 35P05 58J65 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Int. J. Math. Math. Sci. 20, No. 2, 397--402 (1997; Zbl 0891.35163) Full Text: DOI EuDML
Zayed, E. M. E. An inverse problem for a general doubly connected bounded domain in \(\mathbb{R}^ 3\) with a finite number of piecewise impedance boundary conditions. (English) Zbl 0873.35055 Appl. Anal. 64, No. 1-2, 69-98 (1997). MSC: 35P05 35R30 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Anal. 64, No. 1--2, 69--98 (1997; Zbl 0873.35055) Full Text: DOI
Zayed, E. M. E. Eigenvalues of the negative Laplacian for arbitrary multiply connected domains. (English) Zbl 0852.35108 Int. J. Math. Math. Sci. 19, No. 3, 581-586 (1996). MSC: 35P20 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Int. J. Math. Math. Sci. 19, No. 3, 581--586 (1996; Zbl 0852.35108) Full Text: DOI EuDML
Zayed, E. M. E. An inverse problem for a general doubly-connected bounded domain with impedance boundary conditions. (English) Zbl 0865.35144 Port. Math. 53, No. 1, 53-72 (1996). Reviewer: G.Dimitriu (Iaşi) MSC: 35R30 35P05 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Port. Math. 53, No. 1, 53--72 (1996; Zbl 0865.35144) Full Text: EuDML
Zayed, E. M. E. Eigenvalues of the negative Laplacian for piecewise smooth impedances entering the boundary conditions. (English) Zbl 0924.35090 J. Math. Phys. Sci. 30, No. 5, 253-273 (1996). MSC: 35P20 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Math. Phys. Sci. 30, No. 5, 253--273 (1996; Zbl 0924.35090)
Zayed, E. M. E. An inverse problem for a general multiply connected bounded domain. (English) Zbl 0845.35134 Appl. Anal. 59, No. 1-4, 121-145 (1995). Reviewer: E.M.E.Zayed (Zagazig) MSC: 35R30 35P05 35J05 35P20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Anal. 59, No. 1--4, 121--145 (1995; Zbl 0845.35134) Full Text: DOI
Zayed, E. M. E. The wave equation approach to an inverse problem for a general convex domain in \(\mathbb{R}^ 3\) with a finite number of piecewise impedance boundary conditions. (English) Zbl 0788.35147 Bull. Calcutta Math. Soc. 85, No. 3, 237-248 (1993). MSC: 35R30 35P05 35L05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Bull. Calcutta Math. Soc. 85, No. 3, 237--248 (1993; Zbl 0788.35147)
Zayed, E. M. E. An inverse eigenvalue problem for an arbitrary multiply connected bounded region: An extension to higher dimensions. (English) Zbl 0780.35114 Int. J. Math. Math. Sci. 16, No. 3, 485-492 (1993). MSC: 35R30 35P05 35J05 35K05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Int. J. Math. Math. Sci. 16, No. 3, 485--492 (1993; Zbl 0780.35114) Full Text: DOI EuDML
Zayed, E. M. E. An inverse eigenvalue problem for an arbitrary, multiply connected, bounded domain in \(R^ 3\) with impedance boundary conditions. (English) Zbl 0755.35079 SIAM J. Appl. Math. 52, No. 3, 725-729 (1992). MSC: 35P05 35R30 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, SIAM J. Appl. Math. 52, No. 3, 725--729 (1992; Zbl 0755.35079) Full Text: DOI
Zayed, E. M. E. Heat equation for a general convex domain in \(R^ 3\) with a finite number of piecewise impedance boundary conditions. (English) Zbl 0712.58057 Appl. Anal. (to appear). Reviewer: E.M.E.Zayed MSC: 58J50 35K05 PDFBibTeX XML
Zayed, E. M. E. An inverse eigenvalue problem for an arbitrary multiply connected bounded region in \(R^ 2\). (English) Zbl 0745.35052 Int. J. Math. Math. Sci. 14, No. 3, 571-580 (1991). Reviewer: N.Vulchanov (Gabrovo) MSC: 35R30 35P05 74J25 74B99 74H99 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Int. J. Math. Math. Sci. 14, No. 3, 571--580 (1991; Zbl 0745.35052) Full Text: DOI EuDML
Zayed, E. M. E. Hearing the shape of a general doubly-connected domain in \(\mathbb{R}^ 3\) with mixed boundary conditions. (English) Zbl 0778.35111 Z. Angew. Math. Phys. 42, No. 4, 547-564 (1991). MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Z. Angew. Math. Phys. 42, No. 4, 547--564 (1991; Zbl 0778.35111) Full Text: DOI
Zayed, E. M. E. Hearing the shape of a general convex domain: An extension to higher dimensions. (English) Zbl 0757.35051 Port. Math. 48, No. 3, 259-280 (1991). MSC: 35P05 35R30 35J05 52A20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Port. Math. 48, No. 3, 259--280 (1991; Zbl 0757.35051) Full Text: EuDML
Zayed, E. M. E. Heat equation for a general convex domain in \(R^ 3\) with a finite number of piecewise impedance boundary conditions. (English) Zbl 0738.58049 Appl. Anal. 42, No. 3-4, 209-220 (1991). MSC: 58J50 35K05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Appl. Anal. 42, No. 3--4, 209--220 (1991; Zbl 0738.58049) Full Text: DOI
Zayed, E. M. E. On hearing the shape of an arbitrary doubly-connected region in \(R^ 2\). (English) Zbl 0736.35146 J. Aust. Math. Soc., Ser. B 31, No. 4, 472-483 (1990). MSC: 35R30 35J05 35P10 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Aust. Math. Soc., Ser. B 31, No. 4, 472--483 (1990; Zbl 0736.35146) Full Text: DOI
Zayed, E. M. E. Heat equation for an arbitrary multiply-connected region in \({\mathbb{R}}^ 2\) with impedance boundary conditions. (English) Zbl 0731.35097 IMA J. Appl. Math. 45, No. 3, 233-241 (1990). Reviewer: Chen Shuxing (Shanghai) MSC: 35R30 35K05 35P20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, IMA J. Appl. Math. 45, No. 3, 233--241 (1990; Zbl 0731.35097) Full Text: DOI
Zayed, E. M. E. Hearing the shape of membranes: Further results. (English) Zbl 0717.35093 Int. J. Math. Math. Sci. 13, No. 3, 591-598 (1990). Reviewer: G.Anger MSC: 35R30 35P10 35J05 31B20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Int. J. Math. Math. Sci. 13, No. 3, 591--598 (1990; Zbl 0717.35093) Full Text: DOI EuDML
Zayed, E. M. E. Hearing the shape of a general doubly connected domain in \(R^ 3\) with impedance boundary conditions. (English) Zbl 0736.35147 J. Math. Phys. 31, No. 10, 2361-2365 (1990). Reviewer: G.Stoyan (Budapest) MSC: 35R30 35J05 35P10 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Math. Phys. 31, No. 10, 2361--2365 (1990; Zbl 0736.35147) Full Text: DOI
Zayed, E. M. E. Heat equation for an arbitrary doubly-connected region in \(R^ 2\) with mixed boundary conditions. (English) Zbl 0704.35133 Z. Angew. Math. Phys. 40, No. 3, 339-355 (1989). Reviewer: E.M.E.Zayed MSC: 35R30 35K05 35K20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Z. Angew. Math. Phys. 40, No. 3, 339--355 (1989; Zbl 0704.35133) Full Text: DOI
Zayed, E. M. E. The wave equation approach to Robbin inverse problems for a doubly- connected region: An extension to higher dimensions. (English) Zbl 0696.35124 J. Comput. Math. 7, No. 3, 301-312 (1989). Reviewer: A.Kirsch MSC: 35P20 35P30 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Comput. Math. 7, No. 3, 301--312 (1989; Zbl 0696.35124)
Zayed, El Sayed M. E. Eigenvalues of the Laplacian with impedance boundary conditions. (English) Zbl 0692.35068 Bull. Calcutta Math. Soc. 81, No. 2, 121-131 (1989). MSC: 35P05 35J05 35R30 PDFBibTeX XMLCite \textit{E. S. M. E. Zayed}, Bull. Calcutta Math. Soc. 81, No. 2, 121--131 (1989; Zbl 0692.35068)
Zayed, Elsayed M. E. Hearing the shape of a general convex domain. (English) Zbl 0692.35067 J. Math. Anal. Appl. 142, No. 1, 170-187 (1989). Reviewer: T.R.Faulkner MSC: 35P05 35J05 35R30 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Math. Anal. Appl. 142, No. 1, 170--187 (1989; Zbl 0692.35067) Full Text: DOI
Zayed, Elsayed M. E. Hearing the shape of doubly-connected regions. (English) Zbl 0848.35083 J. Inst. Math. Comput. Sci., Math. Ser. 1, No. 2, 99-110 (1988). MSC: 35P10 35R30 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Inst. Math. Comput. Sci., Math. Ser. 1, No. 2, 99--110 (1988; Zbl 0848.35083)
Zayed, E. M. E. Some asymptotic formulae for spectra of a general convex domain. (English) Zbl 0721.35089 Collect. Math. 39, No. 1, 83-96 (1988). Reviewer: A.L.Andrew (Bundoora) MSC: 35R30 35J05 35P20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Collect. Math. 39, No. 1, 83--96 (1988; Zbl 0721.35089) Full Text: EuDML
Zayed, E. M. E. The wave equation approach to Robin inverse problems for a doubly- connected region: An extension to higher dimensions. (English) Zbl 0687.35106 Bull. Calcutta Math. Soc. 80, No. 5, 343-352 (1988). Reviewer: A.Jeffrey MSC: 35R30 35L05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Bull. Calcutta Math. Soc. 80, No. 5, 343--352 (1988; Zbl 0687.35106)
Zayed, E. M. E. The wave equation approach to Robin inverse problems for a doubly- connected region. (English) Zbl 0687.35105 Bull. Calcutta Math. Soc. 80, No. 5, 331-342 (1988). Reviewer: A.Jeffrey MSC: 35R30 35L05 35L20 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Bull. Calcutta Math. Soc. 80, No. 5, 331--342 (1988; Zbl 0687.35105)
Zayed, E. M. E. Some asymptotic spectral formulae for the eigenvalues of the Laplacian. (English) Zbl 0671.35063 J. Aust. Math. Soc., Ser. B 30, No. 2, 220-229 (1988). MSC: 35P20 35J05 35J25 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Aust. Math. Soc., Ser. B 30, No. 2, 220--229 (1988; Zbl 0671.35063) Full Text: DOI
Zayed, E. M. E. Eigenvalues of the Laplacian for the third boundary value problem: An extension to higher dimensions. (English) Zbl 0652.35093 J. Math. Anal. Appl. 130, No. 1, 78-96 (1988). Reviewer: G.Philippin MSC: 35P20 35J25 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Math. Anal. Appl. 130, No. 1, 78--96 (1988; Zbl 0652.35093) Full Text: DOI
Zayed, E. M. E. Higher dimensions inverse problem with mixed boundary conditions. (English) Zbl 0811.35169 Proc. Math. Phys. Soc. Egypt 63(1990), 37-52 (1987). MSC: 35R30 35P20 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Proc. Math. Phys. Soc. Egypt 63, 37--52 (1987; Zbl 0811.35169)
Zayed, E. M. E. Eigenvalues of the Laplacian with mixed boundary conditions. (English) Zbl 0811.35168 Proc. Math. Phys. Soc. Egypt 63(1990), 23-36 (1987). MSC: 35R30 35P20 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Proc. Math. Phys. Soc. Egypt 63, 23--36 (1987; Zbl 0811.35168)
Zayed, E. M. E. Eigenvalues of the Laplacian for the third boundary value problem. (English) Zbl 0644.35077 J. Aust. Math. Soc., Ser. B 29, No. 1-2, 79-87 (1987). Reviewer: M.Burger MSC: 35P20 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, J. Aust. Math. Soc., Ser. B 29, No. 1--2, 79--87 (1987; Zbl 0644.35077) Full Text: DOI
Zayed, E. M. E. A new approach to the theory of inverse eigenvalue problem. (English) Zbl 0807.35167 Proc. Math. Phys. Soc. Egypt 61(1991), 123-132 (1986). MSC: 35R30 35P05 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Proc. Math. Phys. Soc. Egypt 61, 123--132 (1986; Zbl 0807.35167)
Zayed, E. M. E. The wave equation methods to inverse problems for a spherical shell. (English) Zbl 0810.35154 Proc. Math. Phys. Soc. Egypt 61(1991), 111-121 (1986). MSC: 35R30 74K15 35J05 35L05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Proc. Math. Phys. Soc. Egypt 61, 111--121 (1986; Zbl 0810.35154)
Zayed, E. M. E. The wave equation approach to inverse problems: an extension to higher dimensions. (English) Zbl 0617.35130 Bull. Calcutta Math. Soc. 78, 281-291 (1986). Reviewer: P.de Mottoni MSC: 35R30 35P20 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Bull. Calcutta Math. Soc. 78, 281--291 (1986; Zbl 0617.35130)
Zayed, E. M. E. A note on the inverse eigenvalue problem for a general convex domain. (English) Zbl 0598.35128 Proc. Math. Phys. Soc. Egypt 58(1986), 49-54 (1984). MSC: 35R30 74H45 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Proc. Math. Phys. Soc. Egypt 58, 49--54 (1986; Zbl 0598.35128)
Zayed, E. M. E. Regular eigenvalue problem with eigenvalue parameter in the boundary conditions. (English) Zbl 0598.34014 Proc. Math. Phys. Soc. Egypt 58(1986), 55-62 (1984). MSC: 34L99 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Proc. Math. Phys. Soc. Egypt 58, 55--62 (1986; Zbl 0598.34014)
Zayed, E. M. E. The wave equation approach to the Sturm-Liouville inverse eigenvalue problem. (English) Zbl 0668.35085 Proc. Math. Phys. Soc. Egypt 60, 65-73 (1985). MSC: 35R30 74K05 35P05 35J05 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Proc. Math. Phys. Soc. Egypt 60, 65--73 (1985; Zbl 0668.35085)