Adhikari, Dhruba R.; Kartsatos, Athanassios G. Invariance of domain and eigenvalues for perturbations of densely defined linear maximal monotone operators. (English) Zbl 1358.47039 Appl. Anal. 95, No. 1, 24-43 (2016). Reviewer: Jesús Hernández (Madrid) MSC: 47H14 47H05 47H11 35P30 35K35 47J10 47J35 PDFBibTeX XMLCite \textit{D. R. Adhikari} and \textit{A. G. Kartsatos}, Appl. Anal. 95, No. 1, 24--43 (2016; Zbl 1358.47039) Full Text: DOI
Asfaw, Teffera M.; Kartsatos, Athanassios G. A Browder topological degree theory for multi-valued pseudomonotone perturbations of maximal monotone operators. (English) Zbl 1287.47043 Adv. Math. Sci. Appl. 22, No. 1, 91-148 (2012). Reviewer: Martin Väth (Berlin) MSC: 47H11 47H05 47H14 PDFBibTeX XMLCite \textit{T. M. Asfaw} and \textit{A. G. Kartsatos}, Adv. Math. Sci. Appl. 22, No. 1, 91--148 (2012; Zbl 1287.47043)
Adhikari, Dhruba R.; Kartsatos, Athanassios G. A new topological degree theory for perturbations of the sum of two maximal monotone operators. (English) Zbl 1231.47059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 14, 4622-4641 (2011). Reviewer: Boris Danilovich Gel’man (Voronezh) MSC: 47H11 47H05 47H10 47H14 PDFBibTeX XMLCite \textit{D. R. Adhikari} and \textit{A. G. Kartsatos}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 14, 4622--4641 (2011; Zbl 1231.47059) Full Text: DOI
Kartsatos, Athanassios G.; Kerr, David A Browder degree theory from the Nagumo degree on the Hilbert space of elliptic super-regularization. (English) Zbl 1206.55004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 2, 501-515 (2011). Reviewer: Lech Górniewicz (Toruń) MSC: 55M25 54H25 47H10 47H11 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{D. Kerr}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 2, 501--515 (2011; Zbl 1206.55004) Full Text: DOI
Ibrahimou, Boubakari; Kartsatos, Athanassios G. The Leray-Schauder approach to the degree theory for \((S_+)\)-perturbations of maximal monotone operators in separable reflexive Banach spaces. (English) Zbl 1185.47067 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 12, 4350-4368 (2009). Reviewer: Yongxiang Li (Lanzhou) MSC: 47H11 47H05 47H14 PDFBibTeX XMLCite \textit{B. Ibrahimou} and \textit{A. G. Kartsatos}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 12, 4350--4368 (2009; Zbl 1185.47067) Full Text: DOI
Kartsatos, Athanassios G.; Quarcoo, Joseph Open balls in the ranges of perturbed maximal monotone operators in reflexive Banach spaces. (English) Zbl 1190.47062 Adv. Math. Sci. Appl. 18, No. 2, 463-488 (2008). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 47H14 47H05 47H11 47N20 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{J. Quarcoo}, Adv. Math. Sci. Appl. 18, No. 2, 463--488 (2008; Zbl 1190.47062)
Kartsatos, Athanassios G.; Quarcoo, Joseph A new topological degree theory for densely defined \((S_+)_L\)-perturbations of multivalued maximal monotone operators in reflexive separable Banach spaces. (English) Zbl 1158.47045 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2339-2354 (2008). Reviewer: In-Sook Kim (Suwon) MSC: 47H11 47H05 47H14 47H04 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{J. Quarcoo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2339--2354 (2008; Zbl 1158.47045) Full Text: DOI
Adhikari, Dhruba R.; Kartsatos, Athanassios G. Strongly quasibounded maximal monotone perturbations for the Berkovits–Mustonen topological degree theory. (English) Zbl 1156.47051 J. Math. Anal. Appl. 348, No. 1, 122-136 (2008). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 47H11 47H05 47J05 47H14 47N20 35G30 PDFBibTeX XMLCite \textit{D. R. Adhikari} and \textit{A. G. Kartsatos}, J. Math. Anal. Appl. 348, No. 1, 122--136 (2008; Zbl 1156.47051) Full Text: DOI
Adhikari, Dhruba R.; Kartsatos, Athanassios G. Topological degree theories and nonlinear operator equations in Banach spaces. (English) Zbl 1142.47346 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 4, 1235-1255 (2008). Reviewer: Christian Fenske (Gießen) MSC: 47H11 47B44 47H05 PDFBibTeX XMLCite \textit{D. R. Adhikari} and \textit{A. G. Kartsatos}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 4, 1235--1255 (2008; Zbl 1142.47346) Full Text: DOI
Kartsatos, Athanassios G.; Skrypnik, Igor V. Degree theories and invariance of domain for perturbed maximal monotone operators in Banach spaces. (English) Zbl 1160.47044 Adv. Differ. Equ. 12, No. 11, 1275-1320 (2007). Reviewer: Marco Spadini (Firenze) MSC: 47H14 47H07 47H11 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, Adv. Differ. Equ. 12, No. 11, 1275--1320 (2007; Zbl 1160.47044)
Kartsatos, Athanassios G.; Skrypnik, Igor V. On the eigenvalue problem for perturbed nonlinear maximal monotone operators in reflexive Banach spaces. (English) Zbl 1100.47050 Trans. Am. Math. Soc. 358, No. 9, 3851-3881 (2006). Reviewer: Yongxiang Li (Lanzhou) MSC: 47H14 47H07 47H11 47J10 47N20 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, Trans. Am. Math. Soc. 358, No. 9, 3851--3881 (2006; Zbl 1100.47050) Full Text: DOI
Kartsatos, Athanassios G.; Skrypnik, Igor V. A new topological degree theory for densely defined quasibounded \(({\widetilde{S}}_{+})\)-perturbations of multivalued maximal monotone operators in reflexive Banach spaces. (English) Zbl 1110.47049 Abstr. Appl. Anal. 2005, No. 2, 121-158 (2005). Reviewer: Cristinel Mortici (Targoviste) MSC: 47H11 47H14 47H04 47H05 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, Abstr. Appl. Anal. 2005, No. 2, 121--158 (2005; Zbl 1110.47049) Full Text: DOI EuDML
Kartsatos, Athanassios G.; Skrypnik, Igor V.; Shramenko, Vladimir N. The index of an isolated critical point for a class of non-differentiable elliptic operators in reflexive Banach spaces. (English) Zbl 1086.47032 J. Differ. Equations 214, No. 1, 189-231 (2005). Reviewer: Wojciech Kryszewski (Toruń) MSC: 47H11 35J25 35B32 47N20 PDFBibTeX XMLCite \textit{A. G. Kartsatos} et al., J. Differ. Equations 214, No. 1, 189--231 (2005; Zbl 1086.47032) Full Text: DOI
Kartsatos, Athanassios G.; Lin, Jing Homotopy invariance of parameter-dependent domains and perturbation theory for maximal monotone and \(m\)-accretive operators in Banach spaces. (English) Zbl 1039.47031 Adv. Differ. Equ. 8, No. 2, 129-160 (2003). Reviewer: Christian Fenske (Gießen) MSC: 47H06 47H11 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{J. Lin}, Adv. Differ. Equ. 8, No. 2, 129--160 (2003; Zbl 1039.47031)
Guan, Z.; Kartsatos, A. G.; Skrypnik, I. V. Ranges of densely defined generalized pseudomonotone perturbations of maximal monotone operators. (English) Zbl 1050.47055 J. Differ. Equations 188, No. 1, 332-351 (2003). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 47H14 47H05 47H11 47N20 PDFBibTeX XMLCite \textit{Z. Guan} et al., J. Differ. Equations 188, No. 1, 332--351 (2003; Zbl 1050.47055) Full Text: DOI
Kartsatos, Athanassios G.; Skrypnik, Igor V. The index of a critical point for densely defined operators of type \((S_+)_L\) in Banach spaces. (English) Zbl 1005.47058 Trans. Am. Math. Soc. 354, No. 4, 1601-1630 (2002). Reviewer: Dumitru Motreanu (Perpignan) MSC: 47H11 47J15 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, Trans. Am. Math. Soc. 354, No. 4, 1601--1630 (2002; Zbl 1005.47058) Full Text: DOI
Zhou, Haiyun; Kartsatos, A. G. Zeros and mapping theorems for perturbations of \(m\)-accretive operators in Banach spaces. (Chinese. English summary) Zbl 1004.47033 J. Syst. Sci. Math. Sci. 21, No. 4, 446-454 (2001). MSC: 47H06 47H14 PDFBibTeX XMLCite \textit{H. Zhou} and \textit{A. G. Kartsatos}, J. Syst. Sci. Math. Sci. 21, No. 4, 446--454 (2001; Zbl 1004.47033)
Kartsatos, Athanassios G.; Skrypnik, Igor V. The index for a topological degree theory for densly defined operators of type \((S_+)_{0,L}\) in Banach spaces. (English) Zbl 0968.47031 J. Korean Math. Soc. 37, No. 6, 901-913 (2000). MSC: 47J05 47H11 58E05 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, J. Korean Math. Soc. 37, No. 6, 901--913 (2000; Zbl 0968.47031)
Kartsatos, Athanassios G.; Skrypnik, Igor V. A global approach to fully nonlinear parabolic problems. (English) Zbl 0954.35090 Trans. Am. Math. Soc. 352, No. 10, 4603-4640 (2000). Reviewer: G.M.Lieberman (Ames) MSC: 35K60 35K55 35K35 35K20 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, Trans. Am. Math. Soc. 352, No. 10, 4603--4640 (2000; Zbl 0954.35090) Full Text: DOI
Kartsatos, Athanassios G.; Skrypnik, Igor V. The index of a critical point for nonlinear elliptic operators with strong coefficient growth. (English) Zbl 0953.47042 J. Math. Soc. Japan 52, No. 1, 109-137 (2000). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 47H11 47J05 47J10 35B32 46E35 47J15 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, J. Math. Soc. Japan 52, No. 1, 109--137 (2000; Zbl 0953.47042) Full Text: DOI
Kartsatos, A. G.; Skrypnik, I. V. Topological degree theories for densely defined mappings involving operators of type \((S_+)\). (English) Zbl 0959.47037 Adv. Differ. Equ. 4, No. 3, 413-456 (1999). Reviewer: Vassil Angelov (Sofia) MSC: 47H11 47H05 35J65 47F05 47N20 58C30 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, Adv. Differ. Equ. 4, No. 3, 413--456 (1999; Zbl 0959.47037)
Kartsatos, Athanassios G.; Skrypnik, Igor V. Normalized eigenvectors for nonlinear abstract and elliptic operators. (English) Zbl 0931.47050 J. Differ. Equations 155, No. 2, 443-475 (1999). Reviewer: Jürgen Appell (Würzburg) MSC: 47J10 47H05 35J60 47F05 47H11 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, J. Differ. Equations 155, No. 2, 443--475 (1999; Zbl 0931.47050) Full Text: DOI
Guan, Zhengyuan; Kartsatos, Athanassios G. Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces. (English) Zbl 0874.47025 Censor, Yair (ed.) et al., Recent developments in optimization theory and nonlinear analysis. AMS/IMU special session on optimization and nonlinear analysis, May 24–26, 1995, Jerusalem, Israel. Providence, RI: American Mathematical Society. Contemp. Math. 204, 107-123 (1997). MSC: 47H05 47J25 47B07 47H06 47H10 PDFBibTeX XMLCite \textit{Z. Guan} and \textit{A. G. Kartsatos}, Contemp. Math. 204, 107--123 (1997; Zbl 0874.47025)
Guan, Zhengyuan; Kartsatos, Athanassios G. A degree for maximal monotone operators. (English) Zbl 0862.47040 Kartsatos, Athanassios G. (ed.), Theory and applications of nonlinear operators of accretive and monotone type. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 178, 115-130 (1996). Reviewer: J.M.Ayerbe (Sevilla) MSC: 47H11 47H05 PDFBibTeX XMLCite \textit{Z. Guan} and \textit{A. G. Kartsatos}, Lect. Notes Pure Appl. Math. 178, 115--130 (1996; Zbl 0862.47040)
Kartsatos, Athanassios G. On the perturbation theory of \(m\)-accretive operators in Banach spaces. (English) Zbl 0857.47032 Proc. Am. Math. Soc. 124, No. 6, 1811-1820 (1996). MSC: 47H06 47H11 47H10 47J25 47B44 47H09 PDFBibTeX XMLCite \textit{A. G. Kartsatos}, Proc. Am. Math. Soc. 124, No. 6, 1811--1820 (1996; Zbl 0857.47032) Full Text: DOI
Kartsatos, Athanassios G. New results in the perturbation theory of maximal monotone and \(m\)-accretive operators in Banach spaces. (English) Zbl 0861.47029 Trans. Am. Math. Soc. 348, No. 5, 1663-1707 (1996). MSC: 47H05 47H06 47J25 47B44 47J10 47H11 47H09 47H10 PDFBibTeX XMLCite \textit{A. G. Kartsatos}, Trans. Am. Math. Soc. 348, No. 5, 1663--1707 (1996; Zbl 0861.47029) Full Text: DOI
Guan, Zhengyuan; Kartsatos, Athanassios G. On the eigenvalue problem for perturbations of nonlinear accretive and monotone operators in Banach spaces. (English) Zbl 0864.47028 Nonlinear Anal., Theory Methods Appl. 27, No. 2, 125-141 (1996). Reviewer: E.De Pascale (Rende) MSC: 47H06 47J10 47H05 PDFBibTeX XMLCite \textit{Z. Guan} and \textit{A. G. Kartsatos}, Nonlinear Anal., Theory Methods Appl. 27, No. 2, 125--141 (1996; Zbl 0864.47028) Full Text: DOI
Kartsatos, Athanassios G. Recent results involving compact perturbations and compact resolvents of accretive operators in Banach spaces. (English) Zbl 0849.47027 Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 2197-2222 (1996). MSC: 47H06 47J05 47H09 47J25 47H11 PDFBibTeX XMLCite \textit{A. G. Kartsatos}, in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 2197--2222 (1996; Zbl 0849.47027)
Ding, Zouhua; Kartsatos, Athanassios G. Nonzero solutions of nonlinear equations involving compact perturbations of accretive operators in Banach spaces. (English) Zbl 0869.47033 Nonlinear Anal., Theory Methods Appl. 25, No. 12, 1333-1342 (1995). Reviewer: Zhang Shisheng (Chengdu) MSC: 47J05 47H06 47H11 PDFBibTeX XMLCite \textit{Z. Ding} and \textit{A. G. Kartsatos}, Nonlinear Anal., Theory Methods Appl. 25, No. 12, 1333--1342 (1995; Zbl 0869.47033) Full Text: DOI
Guan, Zhengyuan; Kartsatos, Athanassios G. Solvability of nonlinear equations with coercivity generated by compact perturbations of \(M\)-accretive operators in Banach spaces. (English) Zbl 0830.47046 Houston J. Math. 21, No. 1, 149-188 (1995). MSC: 47J25 47J05 47H06 35B20 47B07 47H05 PDFBibTeX XMLCite \textit{Z. Guan} and \textit{A. G. Kartsatos}, Houston J. Math. 21, No. 1, 149--188 (1995; Zbl 0830.47046)
Kartsatos, Athanassios G.; Liu, Xiaoping Nonlinear equations involving compact perturbations of \(m\)-accretive operators in Banach spaces. (English) Zbl 0864.47030 Nonlinear Anal., Theory Methods Appl. 24, No. 4, 469-492 (1995). Reviewer: M.Turinici (Iaşi) MSC: 47H06 47H20 34K30 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{X. Liu}, Nonlinear Anal., Theory Methods Appl. 24, No. 4, 469--492 (1995; Zbl 0864.47030) Full Text: DOI
Kartsatos, Athanassios G. Degree theoretic solvability of inclusions involving perturbations of nonlinear \(m\)-accretive operators in Banach spaces. (English) Zbl 0828.47043 Yokohama Math. J. 42, No. 2, 171-182 (1994). MSC: 47H06 47H04 47H11 47J25 47B07 47H10 PDFBibTeX XMLCite \textit{A. G. Kartsatos}, Yokohama Math. J. 42, No. 2, 171--182 (1994; Zbl 0828.47043)
Kaplan, D. R.; Kartsatos, A. G. Ranges of sums and control of nonlinear evolutions with preassigned responses. (English) Zbl 0804.93003 J. Optimization Theory Appl. 81, No. 1, 121-141 (1994). MSC: 93B05 93C10 PDFBibTeX XMLCite \textit{D. R. Kaplan} and \textit{A. G. Kartsatos}, J. Optim. Theory Appl. 81, No. 1, 121--141 (1994; Zbl 0804.93003) Full Text: DOI
Kartsatos, Athanassios G. Advanced ordinary differential equations. 2nd ed. (English) Zbl 0816.34001 Tampa, Fl: Mancorp Publishing, Inc. xi, 266 p. (1993). MSC: 34-01 34A45 34D05 34D20 PDFBibTeX XMLCite \textit{A. G. Kartsatos}, Advanced ordinary differential equations. 2nd ed. Tampa, Fl: Mancorp Publishing, Inc. (1993; Zbl 0816.34001)
Kartsatos, Athanassios G.; Mabry, Richard D. On the solvability in Hilbert space of certain nonlinear operator equations depending on parameters. (English) Zbl 0621.47055 J. Math. Anal. Appl. 120, 670-678 (1986). Reviewer: S.Sessa MSC: 47J05 47H05 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{R. D. Mabry}, J. Math. Anal. Appl. 120, 670--678 (1986; Zbl 0621.47055) Full Text: DOI