Xu, Jiafa; Liu, Jie; O’Regan, Donal Solvability for a Hadamard-type fractional integral boundary value problem. (English) Zbl 07781192 Nonlinear Anal., Model. Control 28, No. 4, 672-696 (2023). Reviewer: Abdelghani Ouahab (Sidi bel Abbès) MSC: 34A08 34B10 34B18 47H10 PDFBibTeX XMLCite \textit{J. Xu} et al., Nonlinear Anal., Model. Control 28, No. 4, 672--696 (2023; Zbl 07781192) Full Text: Link
Hao, Xinan; O’Regan, Donal; Xu, Jiafa Positive solutions for a system of \(2n\)th-order boundary value problems involving semipositone nonlinearities. (English) Zbl 1503.34072 J. Inequal. Appl. 2020, Paper No. 20, 17 p. (2020). MSC: 34B18 34B15 34B10 47N20 PDFBibTeX XMLCite \textit{X. Hao} et al., J. Inequal. Appl. 2020, Paper No. 20, 17 p. (2020; Zbl 1503.34072) Full Text: DOI
Li, Mengmeng; Wang, JinRong; O’Regan, Donal Positive almost periodic solution for a noninstantaneous impulsive Lasota-Wazewska model. (English) Zbl 1451.34104 Bull. Iran. Math. Soc. 46, No. 3, 851-864 (2020). Reviewer: Snezhana Hristova (Plovdiv) MSC: 34K60 34K45 34K14 92C37 34K20 PDFBibTeX XMLCite \textit{M. Li} et al., Bull. Iran. Math. Soc. 46, No. 3, 851--864 (2020; Zbl 1451.34104) Full Text: DOI
Bouafia, Dahmane; Moussaoui, Toufik; O’Regan, Donal Multiplicity of positive solutions for second order quasilinear equations. (English) Zbl 1474.35019 Math. Bohem. 145, No. 1, 93-112 (2020). MSC: 35A15 35B38 30E25 58E30 49K35 PDFBibTeX XMLCite \textit{D. Bouafia} et al., Math. Bohem. 145, No. 1, 93--112 (2020; Zbl 1474.35019) Full Text: DOI
Herlea, Diana-Raluca; O’Regan, Donal; Precup, Radu Harnack type inequalities and multiple solutions in cones of nonlinear problems. (English) Zbl 1444.47065 Z. Anal. Anwend. 39, No. 2, 151-170 (2020). Reviewer: Vincenzo Vespri (Firenze) MSC: 47J05 47H07 34B15 34B18 PDFBibTeX XMLCite \textit{D.-R. Herlea} et al., Z. Anal. Anwend. 39, No. 2, 151--170 (2020; Zbl 1444.47065) Full Text: DOI
Cheng, Wei; Xu, Jiafa; O’Regan, Donal Positive solutions for a system of fractional integral boundary value problems. (English) Zbl 1413.34012 Math. Appl. 31, No. 2, 341-349 (2018). MSC: 34A08 34B18 34B10 47N20 34A45 PDFBibTeX XMLCite \textit{W. Cheng} et al., Math. Appl. 31, No. 2, 341--349 (2018; Zbl 1413.34012)
Xu, Jiafa; O’Regan, Donal; Zhang, Keyu Positive solutions for a system of \(p\)-Laplacian boundary value problems. (English) Zbl 1400.34039 Fixed Point Theory 19, No. 2, 823-836 (2018). MSC: 34B18 47N20 PDFBibTeX XMLCite \textit{J. Xu} et al., Fixed Point Theory 19, No. 2, 823--836 (2018; Zbl 1400.34039)
Zhang, Keyu; Xu, Jiafa; O’Regan, Donal Weak solutions for a second order impulsive boundary value problem. (English) Zbl 1499.34214 Filomat 31, No. 20, 6431-6439 (2017). MSC: 34B37 34B15 34B18 47N20 58E05 34B08 PDFBibTeX XMLCite \textit{K. Zhang} et al., Filomat 31, No. 20, 6431--6439 (2017; Zbl 1499.34214) Full Text: DOI
Xu, Jiafa; O’Regan, Donal Positive solutions for a fractional \(p\)-Laplacian boundary value problem. (English) Zbl 1488.34198 Filomat 31, No. 6, 1549-1558 (2017). MSC: 34B18 34A08 34B15 34A45 PDFBibTeX XMLCite \textit{J. Xu} and \textit{D. O'Regan}, Filomat 31, No. 6, 1549--1558 (2017; Zbl 1488.34198) Full Text: DOI
Jiang, Yi-rong; Huang, Nan-jing; O’Regan, Donal A variational inequality theory with applications to \(p\)-Laplacian elliptic inequalities. (English) Zbl 1384.49012 Acta Appl. Math. 152, No. 1, 195-210 (2017). Reviewer: Hengyou Lan (Zigong) MSC: 49J40 35R45 47J20 90C31 47E05 62P30 PDFBibTeX XMLCite \textit{Y.-r. Jiang} et al., Acta Appl. Math. 152, No. 1, 195--210 (2017; Zbl 1384.49012) Full Text: DOI
Xu, Jiafa; O’Regan, Donal Positive solutions for a second order boundary value problem on time scales. (English) Zbl 1343.34215 J. Appl. Math. Comput. 51, No. 1-2, 127-144 (2016). MSC: 34N05 34B18 47H11 PDFBibTeX XMLCite \textit{J. Xu} and \textit{D. O'Regan}, J. Appl. Math. Comput. 51, No. 1--2, 127--144 (2016; Zbl 1343.34215) Full Text: DOI
Gasiński, Leszek; O’Regan, Donal; Papageorgiou, Nikolaos S. Positive solutions for nonlinear nonhomogeneous Robin problems. (English) Zbl 1332.35094 Z. Anal. Anwend. 34, No. 4, 435-458 (2015). Reviewer: Giovanni Anello (Messina) MSC: 35J20 35J60 35B09 PDFBibTeX XMLCite \textit{L. Gasiński} et al., Z. Anal. Anwend. 34, No. 4, 435--458 (2015; Zbl 1332.35094) Full Text: DOI
Zhang, Keyu; Xu, Jiafa; O’Regan, Donal Positive solutions for a coupled system of nonlinear fractional differential equations. (English) Zbl 1322.34015 Math. Methods Appl. Sci. 38, No. 8, 1662-1672 (2015). MSC: 34A08 34B18 47H11 PDFBibTeX XMLCite \textit{K. Zhang} et al., Math. Methods Appl. Sci. 38, No. 8, 1662--1672 (2015; Zbl 1322.34015) Full Text: DOI
Gasiński, Leszek; O’Regan, Donal; Papageorgiou, Nikolaos S. A variational approach to nonlinear logistic equations. (English) Zbl 1318.35011 Commun. Contemp. Math. 17, No. 3, Article ID 1450021, 37 p. (2015). Reviewer: Petr Tomiczek (Plzeň) MSC: 35J20 35J60 35J92 58E05 35B09 35B38 PDFBibTeX XMLCite \textit{L. Gasiński} et al., Commun. Contemp. Math. 17, No. 3, Article ID 1450021, 37 p. (2015; Zbl 1318.35011) Full Text: DOI
Xu, Jiafa; O’Regan, Donal; Yang, Zhilin Positive solutions for a \(n\)th-order impulsive differential equation with integral boundary conditions. (English) Zbl 1314.34059 Differ. Equ. Dyn. Syst. 22, No. 4, 427-439 (2014). MSC: 34B37 34B10 47N20 34B18 PDFBibTeX XMLCite \textit{J. Xu} et al., Differ. Equ. Dyn. Syst. 22, No. 4, 427--439 (2014; Zbl 1314.34059) Full Text: DOI
Agarwal, Ravi P.; Kovacs, B.; O’Regan, D. Existence of positive solutions for a fourth-order differential system. (English) Zbl 1319.34037 Ann. Pol. Math. 112, No. 3, 301-312 (2014). Reviewer: Ruyun Ma (Lanzhou) MSC: 34B18 47N20 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Ann. Pol. Math. 112, No. 3, 301--312 (2014; Zbl 1319.34037) Full Text: DOI
Ding, Youzheng; O’Regan, Donal Positive solutions for a second-order \(p\)-Laplacian impulsive boundary value problem. (English) Zbl 1377.34030 Adv. Difference Equ. 2012, Paper No. 159, 12 p. (2012). MSC: 34B18 34B37 45G15 45M20 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{D. O'Regan}, Adv. Difference Equ. 2012, Paper No. 159, 12 p. (2012; Zbl 1377.34030) Full Text: DOI
Yuan, Chengjun; Jiang, Daqing; O’Regan, D.; Agarwal, Ravi Multiple positive solutions to systems of nonlinear semipositone fractional differential equations with coupled boundary conditions. (English) Zbl 1340.34041 Electron. J. Qual. Theory Differ. Equ. 2012, Paper No. 13, 17 p. (2012). MSC: 34A08 34B15 34B18 34B10 34B09 PDFBibTeX XMLCite \textit{C. Yuan} et al., Electron. J. Qual. Theory Differ. Equ. 2012, Paper No. 13, 17 p. (2012; Zbl 1340.34041) Full Text: DOI
Yang, Zhilin; O’Regan, Donal Positive solutions of a focal problem for one-dimensional \(p\)-Laplacian equations. (English) Zbl 1260.34052 Math. Comput. Modelling 55, No. 7-8, 1942-1950 (2012). MSC: 34B18 34B15 47N20 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{D. O'Regan}, Math. Comput. Modelling 55, No. 7--8, 1942--1950 (2012; Zbl 1260.34052) Full Text: DOI
Agarwal, R. P.; Yansheng, Liu; O’Regan, D.; Congcong, Tian Positive solutions of two-point boundary value problems for fractional singular differential equations. (English. Russian original) Zbl 1263.34009 Differ. Equ. 48, No. 5, 619-629 (2012); translation from Differ. Uravn. 48, No. 5, 611-621 (2012). Reviewer: K. Rajendra Prasad (Visakhapatnam) MSC: 34A08 34B18 34B16 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Differ. Equ. 48, No. 5, 619--629 (2012; Zbl 1263.34009); translation from Differ. Uravn. 48, No. 5, 611--621 (2012) Full Text: DOI
O’Regan, Donal; Orpel, Aleksandra A variational approach to the eigenvalue problem for higher order BVPs with singular nonlinearities. (English) Zbl 1246.65135 Appl. Math. Comput. 218, No. 20, 10063-10071 (2012). MSC: 65L15 PDFBibTeX XMLCite \textit{D. O'Regan} and \textit{A. Orpel}, Appl. Math. Comput. 218, No. 20, 10063--10071 (2012; Zbl 1246.65135) Full Text: DOI
Jarad, Fahd; Mustafa, Octavian G.; O’Regan, Donal Positive solutions of some elliptic differential equations with oscillating nonlinearity. (English) Zbl 1255.35109 Complex Var. Elliptic Equ. 57, No. 6, 599-609 (2012). Reviewer: Lubomira Softova (Aversa) MSC: 35J61 35B40 35J67 35B09 PDFBibTeX XMLCite \textit{F. Jarad} et al., Complex Var. Elliptic Equ. 57, No. 6, 599--609 (2012; Zbl 1255.35109) Full Text: DOI arXiv
Xu, Xian; Sun, Jingxian; O’Regan, D. Global structure of positive solution sets of nonlinear operator equations. (English) Zbl 1246.47013 Monatsh. Math. 165, No. 2, 271-303 (2012). Reviewer: Jesús Hernández (Madrid) MSC: 47H07 47H10 58E07 47H11 47J10 47J15 35J65 PDFBibTeX XMLCite \textit{X. Xu} et al., Monatsh. Math. 165, No. 2, 271--303 (2012; Zbl 1246.47013) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav Positive solutions for mixed problems of singular fractional differential equations. (English) Zbl 1232.26005 Math. Nachr. 285, No. 1, 27-41 (2012). MSC: 26A33 34B16 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Math. Nachr. 285, No. 1, 27--41 (2012; Zbl 1232.26005) Full Text: DOI
Ji, Caisheng; O’Regan, Donal; Yan, Baoqiang; Agarwal, Ravi P. Nonexistence and existence of positive solutions for second order singular three-point boundary value problems with derivative dependent and sign-changing nonlinearities. (English) Zbl 1223.34021 J. Appl. Math. Comput. 36, No. 1-2, 61-87 (2011). Reviewer: Smail Djebali (Algiers) MSC: 34B10 34B15 34B18 34B16 PDFBibTeX XMLCite \textit{C. Ji} et al., J. Appl. Math. Comput. 36, No. 1--2, 61--87 (2011; Zbl 1223.34021) Full Text: DOI
Kelevedjiev, P. S.; O’Regan, D.; Popivanov, N.; Agarwal, R. P. Existence results for second order boundary value problems using the barrier strip technique. (English) Zbl 1211.34024 Aequationes Math. 79, No. 3, 281-291 (2010). MSC: 34B16 34B15 34B18 PDFBibTeX XMLCite \textit{P. S. Kelevedjiev} et al., Aequationes Math. 79, No. 3, 281--291 (2010; Zbl 1211.34024) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations. (English) Zbl 1206.34009 J. Math. Anal. Appl. 371, No. 1, 57-68 (2010). Reviewer: Gisèle M. Mophou (Pointe-à-Pitre) MSC: 34A08 34B18 34B16 47N20 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., J. Math. Anal. Appl. 371, No. 1, 57--68 (2010; Zbl 1206.34009) Full Text: DOI
Xu, Xian; O’Regan, Donal; Chen, Yanfang Structure of positive solution sets of semi-positone singular boundary value problems. (English) Zbl 1193.34047 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 7-8, 3535-3550 (2010). Reviewer: Smail Djebali (Algiers) MSC: 34B18 34B15 34B16 47N20 47J15 PDFBibTeX XMLCite \textit{X. Xu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 7--8, 3535--3550 (2010; Zbl 1193.34047) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Wong, Patricia J. Y. Constant-sign solutions for systems of singular integral equations of Hammerstein type. (English) Zbl 1193.45023 Math. Comput. Modelling 50, No. 7-8, 999-1025 (2009). Reviewer: Martin Väth (Praha) MSC: 45G15 45G05 47H07 34B15 34B16 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Math. Comput. Modelling 50, No. 7--8, 999--1025 (2009; Zbl 1193.45023) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav Positive and maximal positive solutions of singular mixed boundary value problem. (English) Zbl 1193.34039 Cent. Eur. J. Math. 7, No. 4, 694-716 (2009). Reviewer: Smail Djebali (Algiers) MSC: 34B16 34B18 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Cent. Eur. J. Math. 7, No. 4, 694--716 (2009; Zbl 1193.34039) Full Text: DOI
Yang, Zhilin; O’Regan, Donal; Agarwal, Ravi P. Positive solutions of a second-order boundary value problem via integro-differential equation arguments. (English) Zbl 1181.34034 Appl. Anal. 88, No. 8, 1197-1211 (2009). MSC: 34B18 34B15 45J05 PDFBibTeX XMLCite \textit{Z. Yang} et al., Appl. Anal. 88, No. 8, 1197--1211 (2009; Zbl 1181.34034) Full Text: DOI
Sun, Yan; Cho, Yeol Je; O’Regan, Donal Positive solutions for singular second order Neumann boundary value problems via a cone fixed point theorem. (English) Zbl 1167.34313 Appl. Math. Comput. 210, No. 1, 80-86 (2009). MSC: 34B18 34B16 47N20 PDFBibTeX XMLCite \textit{Y. Sun} et al., Appl. Math. Comput. 210, No. 1, 80--86 (2009; Zbl 1167.34313) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav Dead cores of singular Dirichlet boundary value problems with \(\phi \)-Laplacian. (English) Zbl 1199.34076 Appl. Math., Praha 53, No. 4, 381-399 (2008). MSC: 34B16 34B18 34B09 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Appl. Math., Praha 53, No. 4, 381--399 (2008; Zbl 1199.34076) Full Text: DOI EuDML Link
Yuan, Chengjun; Jiang, Daqing; O’Regan, Donal Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete one-dimension \(p\)-Laplacian problems. (English) Zbl 1165.39019 Panam. Math. J. 18, No. 3, 31-46 (2008). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A12 34B16 PDFBibTeX XMLCite \textit{C. Yuan} et al., Panam. Math. J. 18, No. 3, 31--46 (2008; Zbl 1165.39019)
Avery, Richard; Henderson, Johnny; O’Regan, Donal Six functionals fixed point theorem. (English) Zbl 1161.47037 Commun. Appl. Anal. 12, No. 1, 69-82 (2008). Reviewer: In-Sook Kim (Suwon) MSC: 47H10 47H11 47H04 PDFBibTeX XMLCite \textit{R. Avery} et al., Commun. Appl. Anal. 12, No. 1, 69--82 (2008; Zbl 1161.47037)
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav Positive solutions of non-positone Dirichlet boundary value problems with singularities in the phase variables. (English) Zbl 1146.34017 Math. Nachr. 281, No. 5, 612-625 (2008). Reviewer: Minghe Pei (Jilin) MSC: 34B18 34B16 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Math. Nachr. 281, No. 5, 612--625 (2008; Zbl 1146.34017) Full Text: DOI
O’Regan, Donal; Zima, Mirosława Leggett–Williams theorems for coincidences of multivalued operators. (English) Zbl 1152.47041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 10, 2879-2888 (2008). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 47H10 34A60 34C25 47H04 47H11 54H25 PDFBibTeX XMLCite \textit{D. O'Regan} and \textit{M. Zima}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 10, 2879--2888 (2008; Zbl 1152.47041) Full Text: DOI
Avery, Richard; Henderson, Johnny; O’Regan, Donal Functional compression-expansion fixed point theorem. (English) Zbl 1149.47042 Electron. J. Differ. Equ. 2008, Paper No. 22, 12 p. (2008). Reviewer: Vassil Angelov (Sofia) MSC: 47H10 54H25 34B05 PDFBibTeX XMLCite \textit{R. Avery} et al., Electron. J. Differ. Equ. 2008, Paper No. 22, 12 p. (2008; Zbl 1149.47042) Full Text: EuDML EMIS
Lü, Haishen; O’Regan, Donal; Agarwal, Ravi P. Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach. (English) Zbl 1164.34351 Appl. Math., Praha 52, No. 2, 117-135 (2007). MSC: 34B16 34B15 PDFBibTeX XMLCite \textit{H. Lü} et al., Appl. Math., Praha 52, No. 2, 117--135 (2007; Zbl 1164.34351) Full Text: DOI EuDML Link
Agarwal, Ravi P.; O’Regan, Donal; Wong, Patricia J. Y. Constant-sign solutions of a system of integral equations with integrable singularities. (English) Zbl 1136.45007 J. Integral Equations Appl. 19, No. 2, 117-142 (2007). Reviewer: Kai Diethelm (Braunschweig) MSC: 45G15 45M20 45G05 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., J. Integral Equations Appl. 19, No. 2, 117--142 (2007; Zbl 1136.45007) Full Text: DOI
Lü, Haishen; O’Regan, Donal; Agarwal, Ravi P. Existence to singular discrete boundary value problems with sign changing nonlinearities using approximation methods. (English) Zbl 1127.34009 Stud. Sci. Math. Hung. 44, No. 1, 81-95 (2007). MSC: 34B16 39A10 PDFBibTeX XMLCite \textit{H. Lü} et al., Stud. Sci. Math. Hung. 44, No. 1, 81--95 (2007; Zbl 1127.34009) Full Text: DOI
Yan, Baoqiang; O’Regan, Donal; Agarwal, Ravi P. Multiple positive solutions via index theory for singular boundary value problems with derivative dependence. (English) Zbl 1133.34018 Positivity 11, No. 4, 687-720 (2007). Reviewer: Smail Djebali (Algiers) MSC: 34B18 34B16 34B15 PDFBibTeX XMLCite \textit{B. Yan} et al., Positivity 11, No. 4, 687--720 (2007; Zbl 1133.34018) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav Positive and dead core solutions of singular Dirichlet boundary value problems with \(\varphi\)-Laplacian. (English) Zbl 1134.34010 Comput. Math. Appl. 54, No. 2, 255-266 (2007). Reviewer: Jan Tomeček (Olomouc) MSC: 34B16 34B18 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Comput. Math. Appl. 54, No. 2, 255--266 (2007; Zbl 1134.34010) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Tisdell, Christopher C.; Wong, Patricia J. Y. Constant-sign solutions of a system of Volterra integral equations. (English) Zbl 1130.45006 Comput. Math. Appl. 54, No. 1, 58-75 (2007). Reviewer: Martin Väth (Gießen) MSC: 45G15 45M20 47H07 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Comput. Math. Appl. 54, No. 1, 58--75 (2007; Zbl 1130.45006) Full Text: DOI
Yan, Baoqiang; O’Regan, Donal; Agarwal, Ravi P. Multiple positive solutions of singular second order boundary value problems with derivative dependence. (English) Zbl 1135.34015 Aequationes Math. 74, No. 1-2, 62-89 (2007). Reviewer: Eric R. Kaufmann (Little Rock) MSC: 34B18 34B16 34B15 PDFBibTeX XMLCite \textit{B. Yan} et al., Aequationes Math. 74, No. 1--2, 62--89 (2007; Zbl 1135.34015) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Yan, Baoqiang Positive solutions for singular boundary value problems with sign changing nonlinearities depending on \(x^{\prime}\) via index theory. (English) Zbl 1153.34013 Appl. Anal. 86, No. 1, 19-39 (2007). Reviewer: Svatoslav Staněk (Olomouc) MSC: 34B16 34B18 47N20 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Appl. Anal. 86, No. 1, 19--39 (2007; Zbl 1153.34013) Full Text: DOI
O’Regan, Donal; Precup, Radu Positive solutions of nonlinear systems with \(p\)-Laplacian on finite and semi-infinite intervals. (English) Zbl 1135.34014 Positivity 11, No. 3, 537-548 (2007). Reviewer: Mirosława Zima (Rzeszow) MSC: 34B18 34B40 PDFBibTeX XMLCite \textit{D. O'Regan} and \textit{R. Precup}, Positivity 11, No. 3, 537--548 (2007; Zbl 1135.34014) Full Text: DOI
Lü, Haishen; O’Regan, Donal; Agarwal, Ravi P. Positive solutions for non-resonant singular boundary-value problems with a linear term. (English) Zbl 1128.34012 Proc. Edinb. Math. Soc., II. Ser. 50, No. 1, 217-228 (2007). Reviewer: Mirosława Zima (Rzeszow) MSC: 34B18 34B15 34B16 PDFBibTeX XMLCite \textit{H. Lü} et al., Proc. Edinb. Math. Soc., II. Ser. 50, No. 1, 217--228 (2007; Zbl 1128.34012) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Wong, Patricia J. Y. Constant-sign solutions of systems of higher order boundary value problems with integrable singularities. (English) Zbl 1146.34015 Math. Comput. Modelling 44, No. 11-12, 983-1008 (2006). Reviewer: Ruyun Ma (Lanzhou) MSC: 34B16 34B15 34B18 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Math. Comput. Modelling 44, No. 11--12, 983--1008 (2006; Zbl 1146.34015) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal Positive solutions for a class of Volterra integral equations via a fixed point theorem in Fréchet spaces. (English) Zbl 1108.45007 Topol. Methods Nonlinear Anal. 28, No. 1, 189-198 (2006). Reviewer: Mouffak Benchohra (Sidi Bel Abbes) MSC: 45M20 45G10 34A34 47H10 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, Topol. Methods Nonlinear Anal. 28, No. 1, 189--198 (2006; Zbl 1108.45007) Full Text: Link
Lü, Haishen; O’Regan, Donal; Agarwal, Ravi P. An eigenvalue interval of solutions for a singular discrete boundary value problem with sign changing nonlinearities. (English) Zbl 1127.39035 J. Difference Equ. Appl. 12, No. 7, 717-730 (2006). Reviewer: Marat Akhmet (Ankara) MSC: 39A12 39A11 34B16 PDFBibTeX XMLCite \textit{H. Lü} et al., J. Difference Equ. Appl. 12, No. 7, 717--730 (2006; Zbl 1127.39035) Full Text: DOI
Lü, Haishen; O’Regan, Donal; Agarwal, Ravi P. A positive solution for singular discrete boundary value problems with sign-changing nonlinearities. (English) Zbl 1099.39008 J. Appl. Math. Stochastic Anal. 2006, No. 1, Article ID 46287, 14 p. (2006). Reviewer: Bogdan Sasu (Timişoara) MSC: 39A11 39A12 34B15 PDFBibTeX XMLCite \textit{H. Lü} et al., J. Appl. Math. Stochastic Anal. 2006, No. 1, Article ID 46287, 14 p. (2006; Zbl 1099.39008) Full Text: DOI EuDML
Xu, Xian; O’Regan, Donal Existence of positive solutions for operator equations and applications to semipositone problems. (English) Zbl 1112.34037 Positivity 10, No. 2, 315-328 (2006). MSC: 34G20 34B24 PDFBibTeX XMLCite \textit{X. Xu} and \textit{D. O'Regan}, Positivity 10, No. 2, 315--328 (2006; Zbl 1112.34037) Full Text: DOI
Agarwal, Ravi P.; Cao, Daomin; Lü, Haishen; O’Regan, Donal Existence and multiplicity of positive solutions for singular semipositone \(p\)-Laplacian equations. (English) Zbl 1122.34014 Can. J. Math. 58, No. 3, 449-475 (2006). Reviewer: Pierpaolo Omari (Trieste) MSC: 34B18 34B15 34B16 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Can. J. Math. 58, No. 3, 449--475 (2006; Zbl 1122.34014) Full Text: DOI
O’Regan, Donal; Staněk, Svatoslav The existence of positive solutions to a non-local singular boundary value problem. (English) Zbl 1098.34013 Math. Methods Appl. Sci. 29, No. 2, 235-247 (2006). Reviewer: Nickolai Kosmatov (Little Rock) MSC: 34B16 34B18 34B15 PDFBibTeX XMLCite \textit{D. O'Regan} and \textit{S. Staněk}, Math. Methods Appl. Sci. 29, No. 2, 235--247 (2006; Zbl 1098.34013) Full Text: DOI
Agarwal, Ravi P.; Grace, Said R.; O’Regan, Donal On the oscillation of certain third-order difference equations. (English) Zbl 1107.39004 Adv. Difference Equ. 2005, No. 3, 345-367 (2005). Reviewer: Sui Sun Cheng (Hsinchu) MSC: 39A11 39A12 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Adv. Difference Equ. 2005, No. 3, 345--367 (2005; Zbl 1107.39004) Full Text: DOI EuDML
Yang, Zhilin; O’Regan, Donal Positive solvability of systems of nonlinear Hammerstein integral equations. (English) Zbl 1079.45005 J. Math. Anal. Appl. 311, No. 2, 600-614 (2005). MSC: 45G15 45M20 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{D. O'Regan}, J. Math. Anal. Appl. 311, No. 2, 600--614 (2005; Zbl 1079.45005) Full Text: DOI
Lin, Xiaoning; Jiang, Daqing; O’Regan, Donal; Agarwal, Ravi P. Twin positive periodic solutions of second order singular differential systems. (English) Zbl 1098.34032 Topol. Methods Nonlinear Anal. 25, No. 2, 263-273 (2005). Reviewer: Pierpaolo Omari (Trieste) MSC: 34C25 34B15 34B18 34B16 47H10 PDFBibTeX XMLCite \textit{X. Lin} et al., Topol. Methods Nonlinear Anal. 25, No. 2, 263--273 (2005; Zbl 1098.34032) Full Text: DOI
O’Regan, Donal; Precup, Radu Compression-expansion fixed point theorem in two norms and applications. (English) Zbl 1078.47017 J. Math. Anal. Appl. 309, No. 2, 383-391 (2005). Reviewer: Mirosława Zima (Rzeszow) MSC: 47H10 47N20 45G10 47H07 47H30 PDFBibTeX XMLCite \textit{D. O'Regan} and \textit{R. Precup}, J. Math. Anal. Appl. 309, No. 2, 383--391 (2005; Zbl 1078.47017) Full Text: DOI
Jiang, Daqing; O’Regan, Donal; Agarwal, Ravi P.; Xu, Xiaojie On the number of positive periodic solutions of functional differential equations and population models. (English) Zbl 1087.34046 Math. Models Methods Appl. Sci. 15, No. 4, 555-573 (2005). Reviewer: Hai-Feng Huo (Lanzhou) MSC: 34K13 92D25 PDFBibTeX XMLCite \textit{D. Jiang} et al., Math. Models Methods Appl. Sci. 15, No. 4, 555--573 (2005; Zbl 1087.34046) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Wong, Patricia J. Y. Constant-sign solutions of a system of integral equations: the semipositone and singular case. (English) Zbl 1081.45002 Asymptotic Anal. 43, No. 1-2, 47-74 (2005). Reviewer: Ulrich Kosel (Freiberg) MSC: 45G15 45M20 45B05 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Asymptotic Anal. 43, No. 1--2, 47--74 (2005; Zbl 1081.45002)
Agarwal, Ravi P.; Meehan, Maria; O’Regan, Donal Positive solutions of singular integral equations – a survey. (English) Zbl 1076.45001 Dyn. Syst. Appl. 14, No. 1, 1-38 (2005). Reviewer: Ulrich Kosel (Freiberg) MSC: 45G05 45M20 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Dyn. Syst. Appl. 14, No. 1, 1--38 (2005; Zbl 1076.45001)
Lü, Haishen; O’Regan, Donal; Agarwal, Ravi P. Existence theorems for the one-dimensional singular \(p\)-Laplacian equation with a nonlinear boundary condition. (English) Zbl 1071.34019 J. Comput. Appl. Math. 182, No. 1, 188-210 (2005). MSC: 34B16 PDFBibTeX XMLCite \textit{H. Lü} et al., J. Comput. Appl. Math. 182, No. 1, 188--210 (2005; Zbl 1071.34019) Full Text: DOI
Lü, Haishen; O’Regan, Donal; Agarwal, Ravi P. Upper and lower solutions for the singular \(p\)-Laplacian with sign changing nonlinearities and nonlinear boundary data. (English) Zbl 1082.34022 J. Comput. Appl. Math. 181, No. 2, 442-466 (2005). Reviewer: Petio S. Kelevedjiev (Sliven) MSC: 34B18 34B15 34B16 PDFBibTeX XMLCite \textit{H. Lü} et al., J. Comput. Appl. Math. 181, No. 2, 442--466 (2005; Zbl 1082.34022) Full Text: DOI
Lü, Haishen; O’Regan, Donal; Agarwal, Ravi P. Positive solutions for singular \(p\)-Laplacian equations with sign changing nonlinearities using inequality theory. (English) Zbl 1071.34018 Appl. Math. Comput. 165, No. 3, 587-597 (2005). MSC: 34B16 34B18 PDFBibTeX XMLCite \textit{H. Lü} et al., Appl. Math. Comput. 165, No. 3, 587--597 (2005; Zbl 1071.34018) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav Solvability of singular Dirichlet boundary-value problems with given maximal values for positive solutions. (English) Zbl 1066.34017 Proc. Edinb. Math. Soc., II. Ser. 48, No. 1, 1-19 (2005). MSC: 34B16 34B18 34B15 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Proc. Edinb. Math. Soc., II. Ser. 48, No. 1, 1--19 (2005; Zbl 1066.34017) Full Text: DOI
Jiang, Daqing; Zhang, Lili; O’Regan, Donal; Agarwal, Ravi P. Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension \(p\)-Laplacian. (English) Zbl 1113.39022 Arch. Math., Brno 40, No. 4, 367-381 (2004). Reviewer: Ondřej Došlý (Brno) MSC: 39A12 34B15 39A11 PDFBibTeX XMLCite \textit{D. Jiang} et al., Arch. Math., Brno 40, No. 4, 367--381 (2004; Zbl 1113.39022) Full Text: EuDML EMIS
Jiang, Daqing; Xu, Xiaojie; O’Regan, Donal; Agarwal, Ravi P. Multiple positive solutions to semipositone Dirichlet boundary value problems with singular dependent nonlinearities. (English) Zbl 1070.34037 Fasc. Math. 34, 25-37 (2004). Reviewer: Yavdat Ilyasov (Ufa) MSC: 34B18 34B15 34B16 PDFBibTeX XMLCite \textit{D. Jiang} et al., Fasc. Math. 34, 25--37 (2004; Zbl 1070.34037)
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav Existence of positive solutions for boundary-value problems with singularities in phase variables. (English) Zbl 1060.34012 Proc. Edinb. Math. Soc., II. Ser. 47, No. 1, 1-13 (2004). MSC: 34B16 34B18 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Proc. Edinb. Math. Soc., II. Ser. 47, No. 1, 1--13 (2004; Zbl 1060.34012) Full Text: DOI
Agarwal, Ravi P.; Lü, Haishen; O’Regan, Donal Positive solutions for the boundary value problem \((| u''|^{p-2} u'')''-\lambda q(t) f(u(t))= 0\). (English) Zbl 1161.34315 Mem. Differ. Equ. Math. Phys. 28, 33-44 (2003). MSC: 34B18 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Mem. Differ. Equ. Math. Phys. 28, 33--44 (2003; Zbl 1161.34315)
Agarwal, R. P.; Grace, S. R.; O’Regan, D. Discrete semipositone higher-order equations. (English) Zbl 1060.39011 Comput. Math. Appl. 45, No. 6-9, 1171-1179 (2003). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 39A12 34B15 39A11 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Comput. Math. Appl. 45, No. 6--9, 1171--1179 (2003; Zbl 1060.39011) Full Text: DOI
Jiang, Daqing; O’Regan, Donal; Agarwal, Ravi P. Existence theory for single and multiple solutions to singular boundary value problems for the one-dimension \(p\)-Laplacian. (English) Zbl 1052.34027 Adv. Math. Sci. Appl. 13, No. 1, 179-199 (2003). Reviewer: Svatoslav Staněk (Olomouc) MSC: 34B16 34B18 34B15 PDFBibTeX XMLCite \textit{D. Jiang} et al., Adv. Math. Sci. Appl. 13, No. 1, 179--199 (2003; Zbl 1052.34027)
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav Singular Lidstone boundary value problem with given maximal values for solutions. (English) Zbl 1055.34040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 7-8, 859-881 (2003). Reviewer: Petio S. Kelevedjiev (Sliven) MSC: 34B16 34B15 34B18 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 7--8, 859--881 (2003; Zbl 1055.34040) Full Text: DOI
Jiang, Daqing; Chu, Jifeng; O’Regan, Donal; Agarwal, Ravi P. Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces. (English) Zbl 1042.34047 J. Math. Anal. Appl. 286, No. 2, 563-576 (2003). Reviewer: Alessandro Fonda (Trieste) MSC: 34B18 PDFBibTeX XMLCite \textit{D. Jiang} et al., J. Math. Anal. Appl. 286, No. 2, 563--576 (2003; Zbl 1042.34047) Full Text: DOI
Agarwal, Ravi P.; Lü, Haishen; O’Regan, Donal Existence theorems for the one-dimensional singular \(p\)-Laplacian equation with sign changing nonlinearities. (English) Zbl 1031.34023 Appl. Math. Comput. 143, No. 1, 15-38 (2003). MSC: 34B16 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Appl. Math. Comput. 143, No. 1, 15--38 (2003; Zbl 1031.34023) Full Text: DOI
Jiang, Daqing; Zhang, Lili; O’Regan, Donal; Agarwal, Ravi P. Existence theory for single and multiple solutions to semipositone discrete Dirichlet boundary value problems with singular dependent nonlinearities. (English) Zbl 1026.39002 J. Appl. Math. Stochastic Anal. 16, No. 1, 19-31 (2003). Reviewer: Lothar Berg (Rostock) MSC: 39A10 PDFBibTeX XMLCite \textit{D. Jiang} et al., J. Appl. Math. Stochastic Anal. 16, No. 1, 19--31 (2003; Zbl 1026.39002) Full Text: DOI EuDML
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav Positive solutions of singular problems with sign changing Carathéodory nonlinearities depending on \(x'\). (English) Zbl 1028.34026 J. Math. Anal. Appl. 279, No. 2, 597-616 (2003). Reviewer: Jan Andres (Olomouc) MSC: 34B18 34B16 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., J. Math. Anal. Appl. 279, No. 2, 597--616 (2003; Zbl 1028.34026) Full Text: DOI
Agarwal, R. P.; O’Regan, Donal Boundary value problems with sign changing nonlinearities for second order singular ordinary differential equations. (English) Zbl 1033.34020 Appl. Anal. 81, No. 6, 1329-1346 (2002). Reviewer: Petio S. Kelevedjiev (Sliven) MSC: 34B15 34B16 34B18 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, Appl. Anal. 81, No. 6, 1329--1346 (2002; Zbl 1033.34020) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal Singular integral equations arising in Homann flow. (English) Zbl 1030.45002 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 9, No. 4, 481-488 (2002). Reviewer: Nikolai K.Karapetyants (Rostov-na-Donu) MSC: 45G05 34B18 76D05 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 9, No. 4, 481--488 (2002; Zbl 1030.45002)
Agarwal, Ravi P.; Meehan, Maria; O’Regan, Donal Positive \(L^2\) and continuous solutions for Fredholm integral inclusions. (English) Zbl 1017.45003 Agarwal, Ravi P. (ed.) et al., Set valued mappings with applications in nonlinear analysis. London: Taylor & Francis. Ser. Math. Anal. Appl. 4, 1-9 (2002). Reviewer: Som Prakash Goyal (Jaipur) MSC: 45G10 45M20 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Ser. Math. Anal. Appl. 4, 1--9 (2002; Zbl 1017.45003)
Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S. An upper and lower solution theory for singular Emden-Fowler equations. (English) Zbl 1011.34013 Nonlinear Anal., Real World Appl. 3, No. 2, 275-291 (2002). Reviewer: Petio S.Kelevedjiev (Sliven) MSC: 34B18 34B16 34B15 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Nonlinear Anal., Real World Appl. 3, No. 2, 275--291 (2002; Zbl 1011.34013) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal Existence of positive solutions to time scale equations using time scale inequalities. (English) Zbl 1002.45004 J. Difference Equ. Appl. 7, No. 6, 829-836 (2001). Reviewer: Gustaf Gripenberg (Hut) MSC: 45G10 45M20 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, J. Difference Equ. Appl. 7, No. 6, 829--836 (2001; Zbl 1002.45004) Full Text: DOI
Meehan, Maria; O’Regan, Donal Positive \(L^p\) solutions of Hammerstein integral equations. (English) Zbl 0981.45001 Arch. Math. 76, No. 5, 366-376 (2001). Reviewer: Dariusz Bugajeweski (Poznań) MSC: 45G10 45M20 45G05 PDFBibTeX XMLCite \textit{M. Meehan} and \textit{D. O'Regan}, Arch. Math. 76, No. 5, 366--376 (2001; Zbl 0981.45001) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal Nonlinear boundary value problems on time scales. (English) Zbl 0995.34016 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 4, 527-535 (2001). Reviewer: Roman Hilscher (East Lansing) MSC: 34B18 34B45 39A99 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 4, 527--535 (2001; Zbl 0995.34016) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. Singular \((p,n-p)\) focal and \((n,p)\) higher order boundary value problems. (English) Zbl 0977.34017 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 42, No. 2, 215-228 (2000). Reviewer: Irena Rachůnková (Olomouc) MSC: 34B16 34B18 34C10 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 42, No. 2, 215--228 (2000; Zbl 0977.34017) Full Text: DOI
Agarwal, R. P.; O’Regan, D. Singular Volterra integral equations. (English) Zbl 0947.45006 Appl. Math. Lett. 13, No. 1, 115-120 (2000). Reviewer: Gustaf Gripenberg (Hut) MSC: 45G05 45M20 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, Appl. Math. Lett. 13, No. 1, 115--120 (2000; Zbl 0947.45006) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal Second and higher order boundary value problems of nonsingular type. (English) Zbl 0954.34012 Bull. Belg. Math. Soc. - Simon Stevin 7, No. 1, 43-52 (2000). Reviewer: Andrei Ronto (Kyïv) MSC: 34B18 34B15 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, Bull. Belg. Math. Soc. - Simon Stevin 7, No. 1, 43--52 (2000; Zbl 0954.34012)
Agarwal, Ravi P.; O’Regan, Donal Nonpositone discrete boundary value problems. (English) Zbl 0937.39001 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 39, No. 2, 207-215 (2000). Reviewer: Lothar Berg (Rostock) MSC: 39A10 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 39, No. 2, 207--215 (2000; Zbl 0937.39001) Full Text: DOI
Agarwal, R. P.; O’Regan, D. Existence of solutions to singular integral equations. (English) Zbl 0934.45004 Comput. Math. Appl. 37, No. 9, 25-29 (1999). Reviewer: N.K.Karapetyants (Rostov-na-Donu) MSC: 45G05 45M20 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, Comput. Math. Appl. 37, No. 9, 25--29 (1999; Zbl 0934.45004) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal Some new existence results for differential and integral equations. (English) Zbl 0878.45001 Nonlinear Anal., Theory Methods Appl. 29, No. 6, 679-692 (1997). Reviewer: P.Talpalaru (Iaşi) MSC: 45G10 34B15 34K05 45M20 45G05 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, Nonlinear Anal., Theory Methods Appl. 29, No. 6, 679--692 (1997; Zbl 0878.45001) Full Text: DOI
Bobisud, L. E.; O’Regan, Donal Existence of positive solutions for singular ordinary differential equations with nonlinear boundary conditions. (English) Zbl 0857.34033 Proc. Am. Math. Soc. 124, No. 7, 2081-2087 (1996). Reviewer: A.Szulkin (Stockholm) MSC: 34B15 34B18 PDFBibTeX XMLCite \textit{L. E. Bobisud} and \textit{D. O'Regan}, Proc. Am. Math. Soc. 124, No. 7, 2081--2087 (1996; Zbl 0857.34033) Full Text: DOI
Bobisud, L. E.; O’Regan, Donal Positive solutions for a class of nonlinear singular boundary value problems at resonance. (English) Zbl 0805.34019 J. Math. Anal. Appl. 184, No. 2, 263-284 (1994). Reviewer: I.Rachůnková (Olomouc) MSC: 34B15 34B18 PDFBibTeX XMLCite \textit{L. E. Bobisud} and \textit{D. O'Regan}, J. Math. Anal. Appl. 184, No. 2, 263--284 (1994; Zbl 0805.34019) Full Text: DOI