Li, Mengmeng; Wang, JinRong; O’Regan, Donal Robustness for non-instantaneous impulsive equations via quadratic Lyapunov functions. (English) Zbl 1515.34060 Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2053-2070 (2022). Reviewer: Simeon Reich (Haifa) MSC: 34G10 34A37 34D10 34D08 34D20 PDFBibTeX XMLCite \textit{M. Li} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2053--2070 (2022; Zbl 1515.34060) Full Text: DOI
Can, Nguyen Huu; Tuan, Nguyen Huy; O’Regan, Donal; Au, Vo Van On a final value problem for a class of nonlinear hyperbolic equations with damping term. (English) Zbl 1480.35404 Evol. Equ. Control Theory 10, No. 1, 103-127 (2021). MSC: 35R30 35L35 35L76 47J06 47H10 47A52 PDFBibTeX XMLCite \textit{N. H. Can} et al., Evol. Equ. Control Theory 10, No. 1, 103--127 (2021; Zbl 1480.35404) Full Text: DOI
Lupulescu, Vasile; O’Regan, Donal A new derivative concept for set-valued and fuzzy-valued functions. Differential and integral calculus in quasilinear metric spaces. (English) Zbl 1464.26030 Fuzzy Sets Syst. 404, 75-110 (2021). MSC: 26E50 26E25 PDFBibTeX XMLCite \textit{V. Lupulescu} and \textit{D. O'Regan}, Fuzzy Sets Syst. 404, 75--110 (2021; Zbl 1464.26030) Full Text: DOI
Bai, Yuzhen; O’Regan, Donal; Xia, Yong-Hui; Yuan, Xiaoqing Does nonuniform behavior destroy the structural stability? (English) Zbl 1484.34136 AIMS Math. 5, No. 6, 5628-5638 (2020). MSC: 34D30 37F15 34D09 37B55 37D25 PDFBibTeX XMLCite \textit{Y. Bai} et al., AIMS Math. 5, No. 6, 5628--5638 (2020; Zbl 1484.34136) Full Text: DOI
Saker, S. H.; Abuelwafa, M. M.; O’Regan, Donal; Agarwal, R. P. Norm dynamic inequalities and theorems of factorization of weighted Cesàro and Copson spaces. (English) Zbl 1460.26031 Bull. Braz. Math. Soc. (N.S.) 51, No. 4, 915-936 (2020). MSC: 26D20 46B25 47G10 47J20 PDFBibTeX XMLCite \textit{S. H. Saker} et al., Bull. Braz. Math. Soc. (N.S.) 51, No. 4, 915--936 (2020; Zbl 1460.26031) Full Text: DOI
Buşe, Constantin; Lupulescu, Vasile; O’Regan, Donal Hyers-Ulam stability for equations with differences and differential equations with time-dependent and periodic coefficients. (English) Zbl 1469.39009 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2175-2188 (2020). MSC: 39A30 34D20 PDFBibTeX XMLCite \textit{C. Buşe} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2175--2188 (2020; Zbl 1469.39009) Full Text: DOI
Wang, JinRong; Li, Mengmeng; O’Regan, Donal; Fečkan, Michal Robustness for linear evolution equations with non-instantaneous impulsive effects. (English) Zbl 1436.34058 Bull. Sci. Math. 159, Article ID 102827, 47 p. (2020). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34D09 34D10 34A37 34G10 PDFBibTeX XMLCite \textit{J. Wang} et al., Bull. Sci. Math. 159, Article ID 102827, 47 p. (2020; Zbl 1436.34058) Full Text: DOI
Yang, Peng; Wang, JinRong; O’Regan, Donal; Fečkan, Michal Inertial manifold for semi-linear non-instantaneous impulsive parabolic equations in an admissible space. (English) Zbl 1509.35067 Commun. Nonlinear Sci. Numer. Simul. 75, 174-191 (2019). MSC: 35B42 35K58 35R12 PDFBibTeX XMLCite \textit{P. Yang} et al., Commun. Nonlinear Sci. Numer. Simul. 75, 174--191 (2019; Zbl 1509.35067) Full Text: DOI
Buşe, Constantin; O’Regan, Donal; Saierli, Olivia Hyers-Ulam stability for linear differences with time dependent and periodic coefficients: the case when the monodromy matrix has simple eigenvalues. (English) Zbl 1423.34070 Symmetry 11, No. 3, Paper No. 339, 8 p. (2019). MSC: 34D09 39B82 PDFBibTeX XMLCite \textit{C. Buşe} et al., Symmetry 11, No. 3, Paper No. 339, 8 p. (2019; Zbl 1423.34070) Full Text: DOI
Nourouzi, Kourosh; Zahedi, Faezeh; O’Regan, Donal Totally bounded subsets and a measure of noncompactness for Schatten class operators. (English) Zbl 07103806 Topology Appl. 265, Article ID 106825, 8 p. (2019). MSC: 47H08 47B10 47B07 PDFBibTeX XMLCite \textit{K. Nourouzi} et al., Topology Appl. 265, Article ID 106825, 8 p. (2019; Zbl 07103806) Full Text: DOI
Saker, S. H.; Osman, M. M.; O’Regan, D.; Agarwal, R. P. Levinson type inequalities and their extensions via convexity on time scales. (Levinson type inequalitis and their extensions via convexity on time scales.) (English) Zbl 1409.26016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 299-314 (2019). MSC: 26D15 26E70 PDFBibTeX XMLCite \textit{S. H. Saker} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 299--314 (2019; Zbl 1409.26016) Full Text: DOI
Yan, Baoqiang; O’Regan, Donal; Agarwal, Ravi P. On spectral asymptotics and bifurcation for some elliptic equations of Kirchhoff-type with odd superlinear term. (English) Zbl 1456.35150 J. Appl. Anal. Comput. 8, No. 2, 509-523 (2018). MSC: 35P20 35P30 35J61 35J25 35B32 PDFBibTeX XMLCite \textit{B. Yan} et al., J. Appl. Anal. Comput. 8, No. 2, 509--523 (2018; Zbl 1456.35150) Full Text: DOI
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal Intersection theorems with applications in optimization. (English) Zbl 1440.47045 J. Optim. Theory Appl. 179, No. 3, 761-777 (2018). Reviewer: Alfred Göpfert (Leipzig) MSC: 47J05 47H04 49J53 47N10 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., J. Optim. Theory Appl. 179, No. 3, 761--777 (2018; Zbl 1440.47045) Full Text: DOI
Saker, Samir H.; Osman, Mahmoud M.; O’Regan, Donal; Agarwal, Ravi P. Inequalities of Hardy type and generalizations on time scales. (English) Zbl 1384.26046 Analysis, München 38, No. 1, 47-62 (2018). MSC: 26D10 26D15 39A13 34A40 34N05 PDFBibTeX XMLCite \textit{S. H. Saker} et al., Analysis, München 38, No. 1, 47--62 (2018; Zbl 1384.26046) Full Text: DOI
Agarwal, R. P.; Mahmoud, R. R.; O’Regan, D.; Saker, S. H. Some reverse dynamic inequalities on time scales. (English) Zbl 1376.26026 Bull. Aust. Math. Soc. 96, No. 3, 445-454 (2017). Reviewer: Antonín Slavík (Praha) MSC: 26E70 26D10 26D15 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Bull. Aust. Math. Soc. 96, No. 3, 445--454 (2017; Zbl 1376.26026) Full Text: DOI
Hernández, Eduardo; O’Regan, Donal On a new class of abstract neutral integro-differential equations and applications. (English) Zbl 1398.35284 Acta Appl. Math. 149, No. 1, 125-137 (2017). MSC: 35R20 35K20 35R09 35R10 45K05 PDFBibTeX XMLCite \textit{E. Hernández} and \textit{D. O'Regan}, Acta Appl. Math. 149, No. 1, 125--137 (2017; Zbl 1398.35284) Full Text: DOI
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal Common fixed point theorems in topological vector spaces via intersection theorems. (English) Zbl 1453.47005 J. Optim. Theory Appl. 173, No. 2, 443-458 (2017). MSC: 47H10 49J53 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., J. Optim. Theory Appl. 173, No. 2, 443--458 (2017; Zbl 1453.47005) Full Text: DOI
Buşe, Constantin; O’Regan, Donal; Saierli, Olivia; Tabassum, Afshan Hyers-Ulam stability and discrete dichotomy for difference periodic systems. (English) Zbl 1353.39016 Bull. Sci. Math. 140, No. 8, 908-934 (2016). MSC: 39A30 39A06 PDFBibTeX XMLCite \textit{C. Buşe} et al., Bull. Sci. Math. 140, No. 8, 908--934 (2016; Zbl 1353.39016) Full Text: DOI
Saker, S. H.; O’Regan, Donal Hardy and Littlewood inequalities on time scales. (English) Zbl 1342.26065 Bull. Malays. Math. Sci. Soc. (2) 39, No. 2, 527-543 (2016). MSC: 26E70 39A13 26D10 PDFBibTeX XMLCite \textit{S. H. Saker} and \textit{D. O'Regan}, Bull. Malays. Math. Sci. Soc. (2) 39, No. 2, 527--543 (2016; Zbl 1342.26065) Full Text: DOI
Saker, S. H.; O’Regan, Donal Extensions of dynamic inequalities of Hardy’s type on time scales. (English) Zbl 1363.26028 Math. Slovaca 65, No. 5, 993-1012 (2015). Reviewer: Pavel Rehak (Brno) MSC: 26D10 26D15 34N05 PDFBibTeX XMLCite \textit{S. H. Saker} and \textit{D. O'Regan}, Math. Slovaca 65, No. 5, 993--1012 (2015; Zbl 1363.26028) Full Text: DOI
Guo, Chengjun; O’Regan, Donal; Wang, Chengjiang; Agarwal, Ravi P. Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems. (English) Zbl 1342.34064 Z. Anal. Anwend. 34, No. 1, 27-41 (2015). Reviewer: Mohsen Timoumi (Monastir) MSC: 34C37 37J45 58E50 PDFBibTeX XMLCite \textit{C. Guo} et al., Z. Anal. Anwend. 34, No. 1, 27--41 (2015; Zbl 1342.34064) Full Text: DOI
Hernández, Eduardo; O’Regan, Donal; Ponce, Rodrigo On \(C^\alpha\)-Hölder classical solutions for non-autonomous neutral differential equations: the nonlinear case. (English) Zbl 1303.34059 J. Math. Anal. Appl. 420, No. 2, 1814-1831 (2014). Reviewer: Andrei Horvat-Marc (Baia Mare) MSC: 34K30 34K40 47H09 PDFBibTeX XMLCite \textit{E. Hernández} et al., J. Math. Anal. Appl. 420, No. 2, 1814--1831 (2014; Zbl 1303.34059) Full Text: DOI
Saker, S. H.; O’Regan, D.; Agarwal, R. Generalized Hardy, Copson, Leindler and Bennett inequalities on time scales. (English) Zbl 1309.26018 Math. Nachr. 287, No. 5-6, 686-698 (2014). Reviewer: Lihua Yang (Guangzhou) MSC: 26D10 26D15 26A15 34N05 39A13 34A40 PDFBibTeX XMLCite \textit{S. H. Saker} et al., Math. Nachr. 287, No. 5--6, 686--698 (2014; Zbl 1309.26018) Full Text: DOI
Hernández, Eduardo M.; O’Regan, Donal Existence of solutions for abstract neutral integro-differential equations with unbounded delay. (English) Zbl 1249.34217 Czech. Math. J. 61, No. 3, 691-706 (2011). Reviewer: Hana Petzeltová (Praha) MSC: 34K30 34K40 35R10 PDFBibTeX XMLCite \textit{E. M. Hernández} and \textit{D. O'Regan}, Czech. Math. J. 61, No. 3, 691--706 (2011; Zbl 1249.34217) Full Text: DOI EuDML Link
Hernández, Eduardo; O’Regan, Donal On a new class of abstract neutral differential equations. (English) Zbl 1254.47028 J. Funct. Anal. 261, No. 12, 3457-3481 (2011). Reviewer: Rong Yuan (Beijing) MSC: 47D06 34K40 47N20 PDFBibTeX XMLCite \textit{E. Hernández} and \textit{D. O'Regan}, J. Funct. Anal. 261, No. 12, 3457--3481 (2011; Zbl 1254.47028) Full Text: DOI
Guo, Chengjun; O’Regan, Donal; Xu, Yuantong; Agarwal, Ravi P. Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations. (English) Zbl 1232.34067 Appl. Anal. 90, No. 7-8, 1169-1183 (2011). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C25 34C37 58E05 PDFBibTeX XMLCite \textit{C. Guo} et al., Appl. Anal. 90, No. 7--8, 1169--1183 (2011; Zbl 1232.34067) Full Text: DOI
Guo, Chengjun; O’Regan, Donal; Xu, Yuantong; Agarwal, Ravi P. Homoclinic orbits for a singular second-order neutral differential equation. (English) Zbl 1194.34124 J. Math. Anal. Appl. 366, No. 2, 550-560 (2010). Reviewer: Ludvík Janoš (Claremont) MSC: 34K10 34K40 47J30 58E05 PDFBibTeX XMLCite \textit{C. Guo} et al., J. Math. Anal. Appl. 366, No. 2, 550--560 (2010; Zbl 1194.34124) Full Text: DOI
Xu, Xian; O’Regan, Donal; Zhang, Ruifang Existence and location results for sign-changing solutions for three-point boundary value problems using Leray-Schauder degree. (English) Zbl 1209.34020 Monatsh. Math. 158, No. 4, 413-439 (2009). Reviewer: Gennaro Infante (Arcavata di Rende) MSC: 34B10 47N20 PDFBibTeX XMLCite \textit{X. Xu} et al., Monatsh. Math. 158, No. 4, 413--439 (2009; Zbl 1209.34020) Full Text: DOI
Hernández, Eduardo; O’Regan, Donal Existence results for abstract neutral functional differential equations. (English) Zbl 1172.35508 Proc. Am. Math. Soc. 137, No. 10, 3309-3318 (2009). MSC: 35R10 34K40 34K30 PDFBibTeX XMLCite \textit{E. Hernández} and \textit{D. O'Regan}, Proc. Am. Math. Soc. 137, No. 10, 3309--3318 (2009; Zbl 1172.35508) Full Text: DOI
Xu, Xian; O’Regan, Donal; Agarwal, R. P. Multiplicity results via topological degree for impulsive boundary value problems under non-well-ordered upper and lower solution conditions. (English) Zbl 1158.34015 Bound. Value Probl. 2008, Article ID 197205, 21 p. (2008). MSC: 34B37 47N20 PDFBibTeX XMLCite \textit{X. Xu} et al., Bound. Value Probl. 2008, Article ID 197205, 21 p. (2008; Zbl 1158.34015) Full Text: DOI EuDML
Wang, Fulong; Chen, Yuqing; O’Regan, Donal Degree theory for \((S_+)\) mappings in non-reflexive Banach spaces. (English) Zbl 1155.47052 Appl. Math. Comput. 202, No. 1, 229-232 (2008). Reviewer: In-Sook Kim (Suwon) MSC: 47H11 54C60 47H04 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Math. Comput. 202, No. 1, 229--232 (2008; Zbl 1155.47052) Full Text: DOI
Xu, Xian; O’Regan, Donal Multiplicity of sign-changing solutions for some four-point boundary value problem. (English) Zbl 1152.34006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 2, 434-447 (2008). Reviewer: Minghe Pei (Jilin) MSC: 34B10 34B15 PDFBibTeX XMLCite \textit{X. Xu} and \textit{D. O'Regan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 2, 434--447 (2008; Zbl 1152.34006) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Shakhmurov, Veli B. Separable anisotropic differential operators in weighted abstract spaces and applications. (English) Zbl 1138.47037 J. Math. Anal. Appl. 338, No. 2, 970-983 (2008). Reviewer: Aleksander Pankov (Baltimore) MSC: 47F05 46N20 42B15 47N20 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., J. Math. Anal. Appl. 338, No. 2, 970--983 (2008; Zbl 1138.47037) Full Text: DOI
Xu, Xian; O’Regan, Donal; Sun, Jingxian Multiplicity results for three-point boundary value problems with a non-well-ordered upper and lower solution condition. (English) Zbl 1140.34009 Math. Comput. Modelling 45, No. 1-2, 189-200 (2007). Reviewer: Irena Rachůnková (Olomouc) MSC: 34B10 34B15 47N20 PDFBibTeX XMLCite \textit{X. Xu} et al., Math. Comput. Modelling 45, No. 1--2, 189--200 (2007; Zbl 1140.34009) Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Wong, Patricia J. Y. Constant-sign \(L^p\) solutions for a system of integral equations. (English) Zbl 1072.45004 Result. Math. 46, No. 3-4, 195-219 (2004). Reviewer: Yves Cherruault (Paris) MSC: 45G15 45M20 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Result. Math. 46, No. 3--4, 195--219 (2004; Zbl 1072.45004) Full Text: DOI
O’Regan, Donal; Shahzad, Naseer Approximation and fixed point theorems for countable condensing composite maps. (English) Zbl 1052.47065 Bull. Aust. Math. Soc. 68, No. 1, 161-168 (2003). Reviewer: Jürgen Appell (Würzburg) MSC: 47J25 47H10 41A65 47H09 PDFBibTeX XMLCite \textit{D. O'Regan} and \textit{N. Shahzad}, Bull. Aust. Math. Soc. 68, No. 1, 161--168 (2003; Zbl 1052.47065) Full Text: DOI
Meehan, Maria; O’Regan, Donal Positive solutions of singular integral equations. (English) Zbl 0988.45004 J. Integral Equations Appl. 12, No. 3, 271-280 (2000). Reviewer: Zbigniew Binderman (Warszawa) MSC: 45G05 45M20 PDFBibTeX XMLCite \textit{M. Meehan} and \textit{D. O'Regan}, J. Integral Equations Appl. 12, No. 3, 271--280 (2000; Zbl 0988.45004) Full Text: DOI Link
O’Regan, D. Fixed-point and random fixed-point theorems in cones of Banach spaces. (English) Zbl 0983.47037 Math. Comput. Modelling 32, No. 11-13, 1473-1483 (2000). Reviewer: Vassil Angelov (Sofia) MSC: 47H10 47H40 47H06 47J05 47H09 PDFBibTeX XMLCite \textit{D. O'Regan}, Math. Comput. Modelling 32, No. 11--13, 1473--1483 (2000; Zbl 0983.47037) Full Text: DOI
Agarwal, R. P.; O’Regan, D. Fixed-point theory for closed inward set valued maps. (English) Zbl 0971.47041 Math. Comput. Modelling 32, No. 11-13, 1305-1310 (2000). Reviewer: Jürgen Appell (Würzburg) MSC: 47H10 47J05 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{D. O'Regan}, Math. Comput. Modelling 32, No. 11--13, 1305--1310 (2000; Zbl 0971.47041) Full Text: DOI
Meehan, Maria; O’Regan, Donal Positive solutions of singular and nonsingular Fredholm integral equations. (English) Zbl 0948.45004 J. Math. Anal. Appl. 240, No. 2, 416-432 (1999). Reviewer: Z.Binderman (Warszawa) MSC: 45G05 45G10 45M20 PDFBibTeX XMLCite \textit{M. Meehan} and \textit{D. O'Regan}, J. Math. Anal. Appl. 240, No. 2, 416--432 (1999; Zbl 0948.45004) Full Text: DOI
O’Regan, Donal Coincidence principles and fixed point theory for mappings in locally convex spaces. (English) Zbl 0930.47025 Rocky Mt. J. Math. 28, No. 4, 1407-1445 (1998). Reviewer: C.Fenske (Gießen) MSC: 47H10 47H09 47H06 47J35 PDFBibTeX XMLCite \textit{D. O'Regan}, Rocky Mt. J. Math. 28, No. 4, 1407--1445 (1998; Zbl 0930.47025) Full Text: DOI Link
O’Regan, Donal A continuation theory for weakly inward maps. (English) Zbl 0919.47046 Glasg. Math. J. 40, No. 3, 311-321 (1998). MSC: 47H10 47H40 PDFBibTeX XMLCite \textit{D. O'Regan}, Glasg. Math. J. 40, No. 3, 311--321 (1998; Zbl 0919.47046) Full Text: DOI
O’Regan, D. New fixed-points results for 1-set contractive set valued maps. (English) Zbl 0951.47050 Comput. Math. Appl. 35, No. 4, 27-34 (1998). Reviewer: S.L.Singh (Rishikesh) MSC: 47H10 47H40 54H25 47H04 47H09 54C60 PDFBibTeX XMLCite \textit{D. O'Regan}, Comput. Math. Appl. 35, No. 4, 27--34 (1998; Zbl 0951.47050) Full Text: DOI
O’Regan, D. Fixed-point theory for the sum of two operators. (English) Zbl 0858.34049 Appl. Math. Lett. 9, No. 1, 1-8 (1996). Reviewer: P.Craciunas (Iaşi) MSC: 34G20 47H10 PDFBibTeX XMLCite \textit{D. O'Regan}, Appl. Math. Lett. 9, No. 1, 1--8 (1996; Zbl 0858.34049) Full Text: DOI