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## Shivaji, Ratnasingham

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 Author ID: shivaji.ratnasingham Published as: Shivaji, R.; Shivaji, Rathasingham; Shivaji, Ratnasingham Homepage: https://sites.google.com/uncg.edu/shivaji/ External Links: MGP · Wikidata · ResearchGate
 Documents Indexed: 172 Publications since 1981, including 11 Books
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#### Co-Authors

 8 single-authored 23 Castro, Alfonso 21 Lee, Eunkyoung 19 Hai, Dang Dinh 14 Chhetri, Maya 14 Goddard, Jerome II 11 Anuradha, V. 11 Ko, Eunkyung 11 Son, Byungjae 10 Ali, Jaffar 9 Garner, Jackie B. 9 Graef, John R. 9 Ye, Jinglong 8 Sankar, Lakshmi N. 8 Soni, Bharat K. 8 Zhu, Jianping 7 Maya, C. 7 Shi, Junping 6 Oruganti, Shobha 6 Sasi, Sarath 5 Chu, Khanh Duc 5 Lim, Hyeona 5 Morris, Quinn A. 4 Brown, Kenneth J. 4 Butler, Dagny 4 Drábek, Pavel 4 Koomullil, Roy P. 4 Ramaswamy, Mythily 4 Sim, Inbo 4 Zhu, Jiangping 3 Caldwell, Scott 3 Dhanya, Rajendran 3 Fonseka, Nalin 3 Gadam, Sudhasree 3 Perera, Kanishka 2 Abebe, Abraham 2 Dang, Hai 2 Mallick, Mohan 2 Rychtár, Jan 2 Schmitt, Klaus 2 Soni, Bela 2 Sundar, Subbiah 1 Ali, Ismail 1 Alotaibi, Trad 1 Belinsky, Boris P. 1 Brown, Chad Edward 1 Brown, Kenneth Alexander 1 Causey, Ryan Michael 1 Costa, David Goldstein 1 Cronin, James T. 1 Das, Ujjal 1 Dickens, S. 1 El Manouni, Said 1 Gordon, Peter V. 1 Gupta, Sat Narain 1 Gupta, Sat Narian 1 Hassanpour, M. 1 Ibrahim, M. M. A. 1 Ii, Jerome Goddard 1 Khamayseh, Ahmed K. 1 Lan, Kunquan 1 Machado, Jonathan 1 Miciano, Agnes R. 1 Miranville, Alain M. 1 Muthunayake, Amila 1 Payne, Catherine 1 Perry, David 1 Rajendran, Dhany 1 Schäfer, Jonas 1 Schilling, B. 1 Spetzer, K. 1 Tuck, Anna 1 Unsurangsie, Sumalee 1 Wampler, Kellan 1 Williams, Melonie B.
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#### Serials

 25 Journal of Mathematical Analysis and Applications 21 Electronic Journal of Differential Equations (EJDE) 16 Differential and Integral Equations 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Nonlinear Analysis. Theory, Methods & Applications 6 Applicable Analysis 6 Discrete and Continuous Dynamical Systems 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Electronic Journal of Qualitative Theory of Differential Equations 5 Boundary Value Problems 4 Applied Mathematics and Computation 4 Proceedings of the American Mathematical Society 4 Applied Mathematics Letters 4 Dynamic Systems and Applications 4 Topological Methods in Nonlinear Analysis 4 Communications on Pure and Applied Analysis 3 Journal of Differential Equations 2 Rocky Mountain Journal of Mathematics 2 Results in Mathematics 2 Communications in Partial Differential Equations 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Abstract and Applied Analysis 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Springer Proceedings in Mathematics & Statistics 2 Advances in Nonlinear Analysis 1 Journal of Mathematical Biology 1 Bulletin of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Mathematical Modelling and Scientific Computing 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Communications in Applied Analysis 1 Positivity 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 ISRN Mathematical Analysis
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#### Fields

 119 Partial differential equations (35-XX) 63 Ordinary differential equations (34-XX) 23 Biology and other natural sciences (92-XX) 13 General and overarching topics; collections (00-XX) 7 Numerical analysis (65-XX) 4 Operator theory (47-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

136 Publications have been cited 1,421 times in 672 Documents Cited by Year
Existence results for superlinear semipositone BVP’s. Zbl 0857.34032
Anuradha, V.; Hai, D. D.; Shivaji, R.
1996
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
2006
S-shaped bifurcation curves. Zbl 0458.35036
Brown, K. J.; Ibrahim, M. M. A.; Shivaji, R.
1981
Diffusive logistic equation with constant yield harvesting. I: Steady states. Zbl 1109.35049
Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham
2002
An existence result on positive solutions for a class of $$p$$-Laplacian systems. Zbl 1330.35132
Hai, D. D.; Shivaji, R.
2004
Non-negative solutions for a class of non-positone problems. Zbl 0659.34018
Castro, Alfonso; Shivaji, R.
1988
Nonlinear eigenvalue problems with semipositone structure. Zbl 0959.35045
Castro, Alfonso; Maya, C.; Shivaji, R.
2000
Positive solutions of quasilinear boundary value problems. Zbl 0893.34017
Hai, D. D.; Schmitt, K.; Shivaji, R.
1998
Multiple positive solutions for classes of $$p$$-Laplacian equations. Zbl 1150.35419
Ramaswamy, Mythily; Shivaji, Ratnasingham
2004
An existence result on positive solutions for a class of semilinear elliptic systems. Zbl 1067.35026
Hai, D. D.; Shivaji, R.
2004
Nonnegative solutions to a semilinear Dirichlet problem in a ball are positive and radially symmetric. Zbl 0688.35025
Castro, Alfonso; Shivaji, R.
1989
Logistic equation with the $$p$$-Laplacian and constant yield harvesting. Zbl 1133.35370
Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham
2004
Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity. Zbl 0836.35049
Castro, Alfonso; Hassanpour, M.; Shivaji, R.
1995
Diffusion problems with a mixed nonlinear boundary condition. Zbl 0712.34029
Garner, J. B.; Shivaji, R.
1990
Branches of radial solutions for semipositone problems. Zbl 0838.34037
Castro, Alfonso; Gadam, Sudhasree; Shivaji, R.
1995
Existence results for classes of sublinear semipositone problems. Zbl 0785.35073
Castro, Alfonso; Garner, J. B.; Shivaji, R.
1993
Uniqueness of nonnegative solutions for semipositone problems on exterior domains. Zbl 1253.35004
Castro, Alfonso; Sankar, Lakshmi; Shivaji, R.
2012
Uniqueness and stability of nonnegative solutions for semipositone problems in a ball. Zbl 0770.34019
Ali, Ismael; Castro, Alfonso; Shivaji, R.
1993
Non-existence of radially symmetric non-negative solutions for a class of semi-positone problems. Zbl 0736.35039
Brown, K. J.; Castro, Alfonso; Shivaji, R.
1989
Classes of infinite semipositone systems. Zbl 1182.35132
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong
2009
On positive solutions for classes of $$p$$-Laplacian semipositone systems. Zbl 1039.34017
Chhetri, Maya; Hai, D. D.; Shivaji, R.
2003
Uniqueness results for a class of positone problems. Zbl 0511.35035
Shivaji, Ratnasingham
1983
Existence and uniqueness for a class of quasilinear elliptic boundary value problems. Zbl 1042.34045
Hai, D. D.; Shivaji, R.
2003
A remark on the existence of three solutions via sub-super solutions. Zbl 0647.35031
Shivaji, Ratnasingham
1987
Positive solutions for a class of nonlinear boundary value problems with Neumann-Robin boundary conditions. Zbl 0943.34016
Anuradha, V.; Maya, C.; Shivaji, R.
1999
Positive solutions for a concave semipositone Dirichlet problem. Zbl 0910.34034
Castro, Alfonso; Shivaji, R.
1998
Positive solution curves of semipositone problems with concave nonlinearities. Zbl 0884.35040
Castro, Alfonso; Gadam, Sudhasree; Shivaji, R.
1997
Explosive nonnegative solutions to two point boundary value problems. Zbl 0846.34015
1996
Uniqueness of positive solutions for a class of elliptic boundary value problems. Zbl 0558.35025
Castro, Alfonso; Shivaji, Ratnasingham
1984
Positive solutions for infinite semipositone problems on exterior domains. Zbl 1249.35081
Lee, Eun Kyoung; Sankar, Lakshmi; Shivaji, R.
2011
Population models with diffusion, strong Allee effect, and nonlinear boundary conditions. Zbl 1227.35172
Goddard, Jerome II; Lee, Eun Kyoung; Shivaji, R.
2011
Positive solutions for classes of multiparameter elliptic semipositone problems. Zbl 1133.35035
Caldwell, Scott; Castro, Alfonso; Shivaji, Ratnasingham; Unsurangsie, Sumalee
2007
Positive solutions for a class of $$p$$-Laplacian systems with multiple parameters. Zbl 1405.35039
Ali, Jaffar; Shivaji, R.
2007
Evolution of positive solution curves in semipositone problems with concave nonlinearities. Zbl 0985.34014
Castro, Alfonso; Gadam, Sudhasree; Shivaji, R.
2000
Multiple positive solutions for a class of semilinear elliptic boundary value problems. Zbl 0933.35075
Maya, C.; Shivaji, R.
1999
Remarks on an S-shaped bifurcation curve. Zbl 0583.35008
Shivaji, Ratnasingham
1985
Uniqueness of positive radial solutions for a class of semipositone problems on the exterior of a ball. Zbl 1308.35107
Ko, Eunkyung; Ramaswamy, Mythily; Shivaji, R.
2015
Positive radial solutions for elliptic equations on exterior domains with nonlinear boundary conditions. Zbl 1304.35293
Butler, Dagny; Ko, Eunkyung; Lee, Eun Kyoung; Shivaji, R.
2014
Multiplicity results for classes of singular problems on an exterior domain. Zbl 1279.35026
Ko, Eunkyoung; Lee, Eun Kyoung; Shivaji, R.
2013
S-shaped bifurcation curves in ecosystems. Zbl 1221.35421
Lee, Eunkyoung; Sasi, Sarath; Shivaji, R.
2011
Population models with diffusion, strong Allee effect and constant yield harvesting. Zbl 1160.35437
Ali, Jaffar; Shivaji, R.; Wampler, Kellan
2009
Positive solutions for semi-positone systems in an annulus. Zbl 0954.34013
Hai, D. D.; Shivaji, R.
1999
Instability of nonnegative solutions for a class of semipositone problems. Zbl 0741.35003
Brown, K. J.; Shivaji, R.
1991
Multiplicity and uniqueness of positive solutions for elliptic equations with nonlinear boundary conditions arising in a theory of thermal explosion. Zbl 1302.35151
Gordon, Peter V.; Ko, Eunkyung; Shivaji, R.
2014
Diffusive logistic equation with non-linear boundary conditions. Zbl 1208.35082
Goddard, Jerome II; Shivaji, R.; Lee, Eun Kyoung
2011
Global bifurcations of concave semipositone problems. Zbl 1290.35108
Shi, Junping; Shivaji, Ratnasingham
2003
Exact multiplicity of solutions for classes of semipositone problems with concave-convex nonlinearity. Zbl 0993.34015
Shi, Junping; Shivaji, Ratnasingham
2001
On the number of solutions of boundary value problems involving the $$p$$-Laplacian. Zbl 0848.35050
Dang, Hai; Schmitt, Klaus; Shivaji, R.
1996
A uniqueness result for a semipositone $$p$$-Laplacian problem on the exterior of a ball. Zbl 1364.35105
Shivaji, R.; Sim, Inbo; Son, Byungjae
2017
Positive radial solutions to classes of singular problems on the exterior domain of a ball. Zbl 1328.35051
Lee, Eun Kyoung; Shivaji, R.; Son, Byungjae
2016
Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball. Zbl 1328.35024
Dhanya, R.; Morris, Q.; Shivaji, R.
2016
Positive solutions for a class of superlinear semipositone systems on exterior domains. Zbl 06380177
Abebe, Abraham; Chhetri, Maya; Sankar, Lakshmi; Shivaji, R.
2014
Infinite semipositone problems with asymptotically linear growth forcing terms. Zbl 1274.35089
Hai, D. D.; Sankar, Lakshmi; Shivaji, R.
2012
Positive solutions for infinite semipositone problems with falling zeros. Zbl 1190.35095
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong
2010
Positive solutions for a class of infinite semipositone problems. Zbl 1212.35129
Ramaswamy, Mythily; Shivaji, R.; Ye, Jinglong
2007
Existence results for a class of $$p$$-Laplacian problems with sign-changing weight. Zbl 1212.35147
Chhetri, Maya; Oruganti, Shobha; Shivaji, R.
2005
An existence result for a class of superlinear $$p$$-Laplacian semipositone systems. Zbl 1046.34043
Hai, D. D.; Shivaji, R.; Maya, C.
2001
Multiple positive solutions for a class of semipositone Neumann two point boundary value problems. Zbl 0783.34016
Miciano, Agnes R.; Shivaji, R.
1993
Existence of positive solutions for a class of $$p$$-Laplacian superlinear semipositone problems. Zbl 1335.35080
Chhetri, M.; Drábek, P.; Shivaji, R.
2015
A three solution theorem for singular nonlinear elliptic boundary value problems. Zbl 1310.35130
Dhanya, R.; Ko, Eunkyung; Shivaji, R.
2015
Semipositone problems with falling zeros on exterior domains. Zbl 1266.35041
Sankar, Lakshmi; Sasi, Sarath; Shivaji, R.
2013
On singular quasi-monotone $$(p, q)$$-Laplacian systems. Zbl 1252.35144
El Manouni, Said; Perera, Kanishka; Shivaji, Ratnasingham
2012
Positive solutions for elliptic equations involving nonlinearities with falling zeroes. Zbl 1170.35422
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong
2009
Multiple positive solutions for classes of elliptic systems with combined nonlinear effects. Zbl 1212.35162
Ali, Jaffar; Shivaji, R.; Ramaswamy, Mythily
2006
Sign changing solutions for a class of superlinear multi-parameter semi- positone problems. Zbl 0824.34024
1995
Multiple solutions for a Dirichlet problem with jumping nonlinearities. II. Zbl 0695.34018
Castro, Alfonso; Shivaji, R.
1988
Existence and uniqueness of solutions to a class of singular diffusion problems. Zbl 0633.34013
Garner, J. B.; Shivaji, R.
1988
Positive radial solutions for a class of singular superlinear problems on the exterior of a ball with nonlinear boundary conditions. Zbl 1392.35110
Hai, D. D.; Shivaji, R.
2017
On radial solutions for singular combined superlinear elliptic systems on annular domains. Zbl 1391.34055
Hai, D. D.; Shivaji, R.
2017
Multiplicity results for classes of infinite positone problems. Zbl 1223.35172
Ko, Eunkyung; Lee, Eun Kyoung; Shivaji, R.
2011
Subsolutions: a journey from positone to infinite semipositone problems. Zbl 1177.35145
Lee, Eun Kyoung; Shivaji, Ratnasingham; Ye, Jinglong
2009
Positive solutions for classes of multiparameter boundary value problems. Zbl 1257.34015
Caldwell, Scott; Shivaji, R.; Zhu, Jianping
2002
Semipositone problems. Zbl 0793.35035
Castro, Alfonso; Shivaji, Ratnasingham
1993
Existence of infinitely many non-trivial bifurcation points. Zbl 0763.34027
1992
Analysis of positive solutions for classes of quasilinear singular problems on exterior domains. Zbl 1377.35120
Chhetri, Maya; Drábek, Pavel; Shivaji, Ratnasingham
2017
A uniqueness result for a singular nonlinear eigenvalue problem. Zbl 1297.35159
Castro, Alfonso; Ko, Eunkyung; Shivaji, R.
2013
Population models with nonlinear boundary conditions. Zbl 1204.34030
Goddard, Jerome; Lee, Eun Kyoung; Shivaji, Ratnasingham
2010
A double $$S$$-shaped bifurcation curve for a reaction-diffusion model with nonlinear boundary conditions. Zbl 1211.35037
Goddard, Jerome II; Lee, Eun Kyoung; Shivaji, R.
2010
Semilinear elliptic equations with generalized cubic nonlinearities. Zbl 1144.35385
Shi, Junping; Shivaji, Ratnasingham
2005
Positive solutions for classes of $$p$$-Laplacian equations. Zbl 1030.35054
Chhetri, Maya; Oruganti, Shobha; Shivaji, R.
2003
Uniqueness results for a class of singular diffusion problems. Zbl 0644.34022
Garner, J. B.; Shivaji, R.
1989
Existence and multiplicity of positive radial solutions for singular superlinear elliptic systems in the exterior of a ball. Zbl 1421.35087
Hai, D. D.; Shivaji, R.
2019
Uniqueness of positive radial solutions for infinite semipositone $$p$$-Laplacian problems in exterior domains. Zbl 1418.35196
Chu, K. D.; Hai, D. D.; Shivaji, R.
2019
Existence of positive radial solutions for a superlinear semipositone $$p$$-Laplacian problem on the exterior of a ball. Zbl 1393.35063
Morris, Quinn; Shivaji, Ratnasingham; Sim, Inbo
2018
Diffusive logistic equation with constant yield harvesting and negative density dependent emigration on the boundary. Zbl 1312.35112
Goddard, Jerome II; Shivaji, Ratnasingham
2014
Existence results for classes of Laplacian systems with sign-changing weight. Zbl 1165.35012
Ali, Jaffar; Shivaji, R.
2007
Uniqueness of positive solutions for a class of semipositone elliptic systems. Zbl 1220.35038
Hai, D. D.; Shivaji, R.
2007
Nonexistence of positive solutions for a class of semilinear elliptic systems. Zbl 1154.35031
Dang, H.; Oruganti, S.; Shivaji, R.
2006
An existence result for a semipositone problem with a sign changing weight. Zbl 1136.35353
Ali, Jaffar; Shivaji, R.
2006
Positivity of nonnegative solutions for cooperative semipositone systems. Zbl 1122.35343
Castro, Alfonso; Maya, C.; Shivaji, R.
2001
Instability of nonnegative solutions for a class of semilinear elliptic boundary value problems. Zbl 0896.35018
Maya, C.; Shivaji, R.
1998
A quadrature method for classes of multi-parameter two point boundary value problems. Zbl 0838.34020
1994
A note on a singular diffusion problem with a nonlinear boundary condition. Zbl 0725.34022
Garner, J. B.; Shivaji, R.
1989
Simple proofs of some results in perturbed bifurcation theory. Zbl 0511.35007
Brown, K. J.; Shivaji, R.
1982
A class of semipositone $$p$$-Laplacian problems with a critical growth reaction term. Zbl 1421.35178
Perera, Kanishka; Shivaji, Ratnasingham; Sim, Inbo
2020
An existence result for superlinear semipositone $$p$$-Laplacian systems on the exterior of a ball. Zbl 06890408
Chhetri, Maya; Shivaji, R.; Son, Byungjae; Sankar, Lakshmi
2018
Existence results for classes of infinite semipositone problems. Zbl 1294.35037
Goddard, Jerome; Lee, Eun Kyoung; Sankar, Lakshmi; Shivaji, R.
2013
Classes of infinite semipositone $$n\times n$$ systems. Zbl 1240.35158
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong
2011
An ecological model with grazing and constant yield harvesting. Zbl 1208.35153
Causey, Ryan; Sasi, Sarath; Shivaji, R.
2010
Classes of singular $$pq-$$Laplacian semipositone systems. Zbl 1191.35123
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong
2010
A class of semipositone $$p$$-Laplacian problems with a critical growth reaction term. Zbl 1421.35178
Perera, Kanishka; Shivaji, Ratnasingham; Sim, Inbo
2020
Existence and multiplicity of positive radial solutions for singular superlinear elliptic systems in the exterior of a ball. Zbl 1421.35087
Hai, D. D.; Shivaji, R.
2019
Uniqueness of positive radial solutions for infinite semipositone $$p$$-Laplacian problems in exterior domains. Zbl 1418.35196
Chu, K. D.; Hai, D. D.; Shivaji, R.
2019
Effects of patch-matrix composition and individual movement response on population persistence at the patch level. Zbl 07135700
Cronin, James T.; Goddard, Jerome II; Shivaji, Ratnasingham
2019
A diffusive logistic equation with U-shaped density dependent dispersal on the boundary. Zbl 1418.35113
Ii, Jerome Goddard; Morris, Quinn; Payne, Catherine; Shivaji, Ratnasingham
2019
Analysis of positive solutions for a class of semipositone $$p$$-Laplacian problems with nonlinear boundary conditions. Zbl 1418.34057
Lee, Eun Kyoung; Shivaji, R.; Sim, Inbo; Son, Byungjae
2019
Classes of reaction diffusion equations where a parameter influences the equation as well as the boundary condition. Zbl 1418.35231
Fonseka, N.; Shivaji, R.; Son, Byungjae; Spetzer, K.
2019
Existence of positive radial solutions for a superlinear semipositone $$p$$-Laplacian problem on the exterior of a ball. Zbl 1393.35063
Morris, Quinn; Shivaji, Ratnasingham; Sim, Inbo
2018
An existence result for superlinear semipositone $$p$$-Laplacian systems on the exterior of a ball. Zbl 06890408
Chhetri, Maya; Shivaji, R.; Son, Byungjae; Sankar, Lakshmi
2018
Bifurcation curves for singular and nonsingular problems with nonlinear boundary conditions. Zbl 1386.34047
Goddard, Jerome II; Morris, Quinn; Shivaji, Ratnasingham; Son, Byungjae
2018
Positive solutions for a class of non-cooperative $$pq$$-Laplacian systems with singularities. Zbl 1404.35206
Chu, K. D.; Hai, D. D.; Shivaji, R.
2018
Bifurcation and multiplicity results for a class of $$n\times n$$ $$p$$-Laplacian system. Zbl 1397.34068
Mallick, Mohan; Shivaji, R.; Son, Byungjae; Sundar, S.
2018
A uniqueness result for a semipositone $$p$$-Laplacian problem on the exterior of a ball. Zbl 1364.35105
Shivaji, R.; Sim, Inbo; Son, Byungjae
2017
Positive radial solutions for a class of singular superlinear problems on the exterior of a ball with nonlinear boundary conditions. Zbl 1392.35110
Hai, D. D.; Shivaji, R.
2017
On radial solutions for singular combined superlinear elliptic systems on annular domains. Zbl 1391.34055
Hai, D. D.; Shivaji, R.
2017
Analysis of positive solutions for classes of quasilinear singular problems on exterior domains. Zbl 1377.35120
Chhetri, Maya; Drábek, Pavel; Shivaji, Ratnasingham
2017
Stability analysis for positive solutions for classes of semilinear elliptic boundary-value problems with nonlinear boundary conditions. Zbl 1376.35065
Goddard, Jerome II; Shivaji, Ratnasingham
2017
Positive radial solutions to classes of singular problems on the exterior domain of a ball. Zbl 1328.35051
Lee, Eun Kyoung; Shivaji, R.; Son, Byungjae
2016
Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball. Zbl 1328.35024
Dhanya, R.; Morris, Q.; Shivaji, R.
2016
Bifurcation and multiplicity results for classes of $$p, q$$-Laplacian systems. Zbl 1376.35084
Shivaji, Ratnasingham; Son, Byungjae
2016
Uniqueness of positive solutions for cooperative Hamiltonian elliptic systems. Zbl 1346.35059
Shi, Junping; Shivaji, Ratnasingham
2016
Existence of three solutions for a two-point singular boundary-value problem with an unbounded weight. Zbl 1347.34039
Rajendran, Dhany; Ko, Eunkyung; Shivaji, Ratnasingham
2016
Uniqueness of positive radial solutions for a class of semipositone problems on the exterior of a ball. Zbl 1308.35107
Ko, Eunkyung; Ramaswamy, Mythily; Shivaji, R.
2015
Existence of positive solutions for a class of $$p$$-Laplacian superlinear semipositone problems. Zbl 1335.35080
Chhetri, M.; Drábek, P.; Shivaji, R.
2015
A three solution theorem for singular nonlinear elliptic boundary value problems. Zbl 1310.35130
Dhanya, R.; Ko, Eunkyung; Shivaji, R.
2015
Positive radial solutions for elliptic equations on exterior domains with nonlinear boundary conditions. Zbl 1304.35293
Butler, Dagny; Ko, Eunkyung; Lee, Eun Kyoung; Shivaji, R.
2014
Multiplicity and uniqueness of positive solutions for elliptic equations with nonlinear boundary conditions arising in a theory of thermal explosion. Zbl 1302.35151
Gordon, Peter V.; Ko, Eunkyung; Shivaji, R.
2014
Positive solutions for a class of superlinear semipositone systems on exterior domains. Zbl 06380177
Abebe, Abraham; Chhetri, Maya; Sankar, Lakshmi; Shivaji, R.
2014
Diffusive logistic equation with constant yield harvesting and negative density dependent emigration on the boundary. Zbl 1312.35112
Goddard, Jerome II; Shivaji, Ratnasingham
2014
Alternate steady states for classes of reaction diffusion models on exterior domains. Zbl 1314.34049
Butler, Dagny; Ko, Eunkyung; Shivaji, R.
2014
Uniqueness of positive solutions for a singular nonlinear eigenvalue problem when a parameter is large. Zbl 1297.34028
Ko, Eunkyung; Lee, Eun Kyoung; Shivaji, R.; Son, Byungjae
2014
Halo-shaped bifurcation curves in ecological systems. Zbl 1306.34030
Goddard, Jerome II; Shivaji, Ratnasingham
2014
Multiplicity results for classes of singular problems on an exterior domain. Zbl 1279.35026
Ko, Eunkyoung; Lee, Eun Kyoung; Shivaji, R.
2013
Semipositone problems with falling zeros on exterior domains. Zbl 1266.35041
Sankar, Lakshmi; Sasi, Sarath; Shivaji, R.
2013
A uniqueness result for a singular nonlinear eigenvalue problem. Zbl 1297.35159
Castro, Alfonso; Ko, Eunkyung; Shivaji, R.
2013
Existence results for classes of infinite semipositone problems. Zbl 1294.35037
Goddard, Jerome; Lee, Eun Kyoung; Sankar, Lakshmi; Shivaji, R.
2013
Uniqueness of nonnegative solutions for semipositone problems on exterior domains. Zbl 1253.35004
Castro, Alfonso; Sankar, Lakshmi; Shivaji, R.
2012
Infinite semipositone problems with asymptotically linear growth forcing terms. Zbl 1274.35089
Hai, D. D.; Sankar, Lakshmi; Shivaji, R.
2012
On singular quasi-monotone $$(p, q)$$-Laplacian systems. Zbl 1252.35144
El Manouni, Said; Perera, Kanishka; Shivaji, Ratnasingham
2012
S-shaped bifurcation curves for logistic growth and weak Allee effect growth models with grazing on an interior patch. Zbl 1290.34032
Butler, Dagny; Shivaji, Ratnasingham; Tuck, Anna
2012
A population model with nonlinear boundary conditions and constant yield harvesting. Zbl 1332.35184
Goddard, Jerome II; Shivaji, R.
2012
Existence of alternate steady states in a phosphorous cycling model. Zbl 1241.35204
Butler, Dagny; Sasi, Sarath; Shivaji, R.
2012
Positive solutions for infinite semipositone problems on exterior domains. Zbl 1249.35081
Lee, Eun Kyoung; Sankar, Lakshmi; Shivaji, R.
2011
Population models with diffusion, strong Allee effect, and nonlinear boundary conditions. Zbl 1227.35172
Goddard, Jerome II; Lee, Eun Kyoung; Shivaji, R.
2011
S-shaped bifurcation curves in ecosystems. Zbl 1221.35421
Lee, Eunkyoung; Sasi, Sarath; Shivaji, R.
2011
Diffusive logistic equation with non-linear boundary conditions. Zbl 1208.35082
Goddard, Jerome II; Shivaji, R.; Lee, Eun Kyoung
2011
Multiplicity results for classes of infinite positone problems. Zbl 1223.35172
Ko, Eunkyung; Lee, Eun Kyoung; Shivaji, R.
2011
Classes of infinite semipositone $$n\times n$$ systems. Zbl 1240.35158
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong
2011
Positive solutions for $$n\times n$$ elliptic systems with combined nonlinear effects. Zbl 1240.35152
Ali, Jaffar; Brown, Ken; Shivaji, R.
2011
Nonexistence results for classes of $$3 \times 3$$ elliptic systems. Zbl 1214.35020
Shivaji, R.; Ye, Jinglong
2011
Positive solutions for infinite semipositone problems with falling zeros. Zbl 1190.35095
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong
2010
Population models with nonlinear boundary conditions. Zbl 1204.34030
Goddard, Jerome; Lee, Eun Kyoung; Shivaji, Ratnasingham
2010
A double $$S$$-shaped bifurcation curve for a reaction-diffusion model with nonlinear boundary conditions. Zbl 1211.35037
Goddard, Jerome II; Lee, Eun Kyoung; Shivaji, R.
2010
An ecological model with grazing and constant yield harvesting. Zbl 1208.35153
Causey, Ryan; Sasi, Sarath; Shivaji, R.
2010
Classes of singular $$pq-$$Laplacian semipositone systems. Zbl 1191.35123
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong
2010
Classes of infinite semipositone systems. Zbl 1182.35132
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong
2009
Population models with diffusion, strong Allee effect and constant yield harvesting. Zbl 1160.35437
Ali, Jaffar; Shivaji, R.; Wampler, Kellan
2009
Positive solutions for elliptic equations involving nonlinearities with falling zeroes. Zbl 1170.35422
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong
2009
Subsolutions: a journey from positone to infinite semipositone problems. Zbl 1177.35145
Lee, Eun Kyoung; Shivaji, Ratnasingham; Ye, Jinglong
2009
Positive solutions of multiparameter semipositone $$p$$-Laplacian problems. Zbl 1135.35340
Perera, Kanishka; Shivaji, Ratnasingham
2008
Positive solutions for classes of multiparameter elliptic semipositone problems. Zbl 1133.35035
Caldwell, Scott; Castro, Alfonso; Shivaji, Ratnasingham; Unsurangsie, Sumalee
2007
Positive solutions for a class of $$p$$-Laplacian systems with multiple parameters. Zbl 1405.35039
Ali, Jaffar; Shivaji, R.
2007
Positive solutions for a class of infinite semipositone problems. Zbl 1212.35129
Ramaswamy, Mythily; Shivaji, R.; Ye, Jinglong
2007
Existence results for classes of Laplacian systems with sign-changing weight. Zbl 1165.35012
Ali, Jaffar; Shivaji, R.
2007
Uniqueness of positive solutions for a class of semipositone elliptic systems. Zbl 1220.35038
Hai, D. D.; Shivaji, R.
2007
Nonexistence results for classes of elliptic systems. Zbl 1210.35125
Shivaji, R.; Ye, Jinglong
2007
On positive solutions for a class of strongly coupled $$p$$-Laplacian systems. Zbl 1133.35346
Ali, Jaffar; Shivaji, R.
2007
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
2006
Multiple positive solutions for classes of elliptic systems with combined nonlinear effects. Zbl 1212.35162
Ali, Jaffar; Shivaji, R.; Ramaswamy, Mythily
2006
Nonexistence of positive solutions for a class of semilinear elliptic systems. Zbl 1154.35031
Dang, H.; Oruganti, S.; Shivaji, R.
2006
An existence result for a semipositone problem with a sign changing weight. Zbl 1136.35353
Ali, Jaffar; Shivaji, R.
2006
Existence results for classes of $$p$$-Laplacian semipositone equations. Zbl 1136.35386
Oruganti, Shobha; Shivaji, R.
2006
Existence results for a class of $$p$$-Laplacian problems with sign-changing weight. Zbl 1212.35147
Chhetri, Maya; Oruganti, Shobha; Shivaji, R.
2005
Semilinear elliptic equations with generalized cubic nonlinearities. Zbl 1144.35385
Shi, Junping; Shivaji, Ratnasingham
2005
An existence result on positive solutions for a class of $$p$$-Laplacian systems. Zbl 1330.35132
Hai, D. D.; Shivaji, R.
2004
Multiple positive solutions for classes of $$p$$-Laplacian equations. Zbl 1150.35419
Ramaswamy, Mythily; Shivaji, Ratnasingham
2004
An existence result on positive solutions for a class of semilinear elliptic systems. Zbl 1067.35026
Hai, D. D.; Shivaji, R.
2004
Logistic equation with the $$p$$-Laplacian and constant yield harvesting. Zbl 1133.35370
Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham
2004
Stability analysis of positive solutions to classes of reaction-diffusion systems. Zbl 1174.35320
Castro, Alfonso; Chhetri, Maya; Shivaji, R.
2004
On positive solutions for classes of $$p$$-Laplacian semipositone systems. Zbl 1039.34017
Chhetri, Maya; Hai, D. D.; Shivaji, R.
2003
Existence and uniqueness for a class of quasilinear elliptic boundary value problems. Zbl 1042.34045
Hai, D. D.; Shivaji, R.
2003
Global bifurcations of concave semipositone problems. Zbl 1290.35108
Shi, Junping; Shivaji, Ratnasingham
2003
Positive solutions for classes of $$p$$-Laplacian equations. Zbl 1030.35054
Chhetri, Maya; Oruganti, Shobha; Shivaji, R.
2003
Diffusive logistic equation with constant yield harvesting. I: Steady states. Zbl 1109.35049
Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham
2002
Positive solutions for classes of multiparameter boundary value problems. Zbl 1257.34015
Caldwell, Scott; Shivaji, R.; Zhu, Jianping
2002
Exact multiplicity of solutions for classes of semipositone problems with concave-convex nonlinearity. Zbl 0993.34015
Shi, Junping; Shivaji, Ratnasingham
2001
An existence result for a class of superlinear $$p$$-Laplacian semipositone systems. Zbl 1046.34043
Hai, D. D.; Shivaji, R.; Maya, C.
2001
Positivity of nonnegative solutions for cooperative semipositone systems. Zbl 1122.35343
Castro, Alfonso; Maya, C.; Shivaji, R.
2001
Nonlinear eigenvalue problems with semipositone structure. Zbl 0959.35045
Castro, Alfonso; Maya, C.; Shivaji, R.
2000
Evolution of positive solution curves in semipositone problems with concave nonlinearities. Zbl 0985.34014
Castro, Alfonso; Gadam, Sudhasree; Shivaji, R.
2000
An existence result for a class of sublinear semipositone systems. Zbl 0967.35041
Castro, Alfonso; Maya, C.; Shivaji, R.
2000
Positive solutions for a class of nonlinear boundary value problems with Neumann-Robin boundary conditions. Zbl 0943.34016
Anuradha, V.; Maya, C.; Shivaji, R.
1999
Multiple positive solutions for a class of semilinear elliptic boundary value problems. Zbl 0933.35075
Maya, C.; Shivaji, R.
1999
Positive solutions for semi-positone systems in an annulus. Zbl 0954.34013
Hai, D. D.; Shivaji, R.
1999
Positive solutions of quasilinear boundary value problems. Zbl 0893.34017
Hai, D. D.; Schmitt, K.; Shivaji, R.
1998
Positive solutions for a concave semipositone Dirichlet problem. Zbl 0910.34034
Castro, Alfonso; Shivaji, R.
1998
Instability of nonnegative solutions for a class of semilinear elliptic boundary value problems. Zbl 0896.35018
Maya, C.; Shivaji, R.
1998
Positive solution curves of semipositone problems with concave nonlinearities. Zbl 0884.35040
Castro, Alfonso; Gadam, Sudhasree; Shivaji, R.
1997
Existence results for superlinear semipositone BVP’s. Zbl 0857.34032
Anuradha, V.; Hai, D. D.; Shivaji, R.
1996
Explosive nonnegative solutions to two point boundary value problems. Zbl 0846.34015
1996
...and 36 more Documents
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#### Cited by 704 Authors

 83 Shivaji, Ratnasingham 29 Shi, Junping 28 Afrouzi, Ghasem Alizadeh 24 Hai, Dang Dinh 18 Wang, Shin-Hwa 17 Castro, Alfonso 16 Ma, Ruyun 15 Lee, Eunkyoung 13 Yang, Zuodong 12 Hung, Kuo-Chih 12 Xu, Xian 11 Boulaaras, Salah Mahmoud 11 Chhetri, Maya 10 Rasouli, Sayyed Hashem 10 Son, Byungjae 10 Wang, Yuwen 9 Agarwal, Ravi P. 9 Ge, Weigao 9 Korman, Philip L. 9 O’Regan, Donal 9 Zhang, Xinguang 8 Drábek, Pavel 8 Lan, Kunquan 8 Mahdavi, Somayeh 8 Naghizadeh, Zohreh 8 Wei, Junjie 7 Garner, Jackie B. 7 Guefaifia, Rafik 7 Ko, Eunkyung 7 Liu, Xia 7 Tehrani, Hossein Torabi 7 Zhang, Yuanbiao 6 Anuradha, V. 6 Chattopadhyay, Joydev 6 Girg, Petr 6 Goddard, Jerome II 6 Goodrich, Christopher S. 6 Iaia, Joseph A. 6 Lu, Yanqiong 6 Moussaoui, Abdelkrim 6 Papageorgiou, Nikolaos S. 6 Sankar, Lakshmi N. 6 Shakeri, Saleh 6 Shi, Haiping 6 Wang, Haiyan 6 Zhang, Qihu 5 Bai, Dingyong 5 Biswas, Santanu 5 Bobisud, Larry E. 5 Bonanno, Gabriele 5 Chu, Khanh Duc 5 Costa, David Goldstein 5 Kim, Chan-Gyun 5 Liu, Lishan 5 Liu, Ping 5 Liu, Zijian 5 Nguyen Thanh Chung 5 Pandey, Ram Krishna 5 Poláčik, Peter 5 Samanta, Sudip K. 5 Sim, Inbo 5 Wang, Jinfeng 5 Yeh, Tzung-Shin 4 Ali, Jaffar 4 Cheng, Jiangang 4 Du, Yihong 4 Graef, John R. 4 Hai, Doan Duy 4 Huang, Shaoyuan 4 Karakostas, George L. 4 Kong, Lingju 4 Liu, Yansheng 4 Morris, Quinn A. 4 Motreanu, Dumitru 4 Perera, Kanishka 4 Saifuddin, Md 4 Santos, Carlos Alberto P. 4 Sasmal, Sourav Kumar 4 Sun, Jingxian 4 Wang, Shin-Hwa 4 Wong, Fu-Hsiang 4 Zhang, Xuemei 3 Butler, Dagny 3 Chen, Hongbin 3 Chen, Tianlan 3 Covei, Dragoş-Pătru 3 Cui, Renhao 3 Dahal, Rajendra 3 Deng, Xiaoqing 3 Dhanya, Rajendran 3 Feng, Meiqiang 3 Girão, Pedro Martins 3 Henderson, Johnny Lee 3 Hu, Shouchuan 3 Khafagy, Salah Abdelnaby 3 Lee, Yong-Hoon Lee 3 Lin, Wei 3 Moghaddam, M. Khaleghy 3 Oruganti, Shobha 3 Ouyang, Tiancheng ...and 604 more Authors
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#### Cited in 141 Serials

 88 Journal of Mathematical Analysis and Applications 73 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Journal of Differential Equations 33 Applied Mathematics and Computation 29 Boundary Value Problems 25 Applied Mathematics Letters 15 Computers & Mathematics with Applications 14 Nonlinear Analysis. Theory, Methods & Applications 13 Journal of Computational and Applied Mathematics 13 Proceedings of the American Mathematical Society 12 Applicable Analysis 10 Rocky Mountain Journal of Mathematics 9 Abstract and Applied Analysis 9 Communications on Pure and Applied Analysis 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Nonlinear Analysis. Real World Applications 7 Positivity 6 Chaos, Solitons and Fractals 6 Transactions of the American Mathematical Society 6 Mathematical and Computer Modelling 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Electronic Journal of Differential Equations (EJDE) 6 Discrete and Continuous Dynamical Systems 6 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Applied Mathematics and Computing 6 Advances in Difference Equations 6 Journal of Fixed Point Theory and Applications 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Functional Analysis 5 Applied Mathematics E-Notes 5 Mediterranean Journal of Mathematics 5 Complex Variables and Elliptic Equations 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Results in Mathematics 4 Acta Applicandae Mathematicae 4 Communications in Partial Differential Equations 4 International Journal of Computer Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Topological Methods in Nonlinear Analysis 4 Complexity 4 Journal of Difference Equations and Applications 4 Acta Mathematica Sinica. English Series 4 Advanced Nonlinear Studies 4 Advances in Nonlinear Analysis 3 Bulletin of the Australian Mathematical Society 3 Journal of Mathematical Biology 3 Mathematische Nachrichten 3 Nonlinear Dynamics 3 Journal of Inequalities and Applications 3 Discrete Dynamics in Nature and Society 3 Communications in Contemporary Mathematics 3 Afrika Matematika 3 Journal of Function Spaces 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Methods in the Applied Sciences 2 Annales Polonici Mathematici 2 Czechoslovak Mathematical Journal 2 Monatshefte für Mathematik 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Tokyo Journal of Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Applied Mathematical Modelling 2 Journal of Dynamics and Differential Equations 2 Opuscula Mathematica 2 Differential Equations and Dynamical Systems 2 Journal of Applied Mathematics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Mathematical Biosciences and Engineering 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Biomathematics 2 International Journal of Differential Equations 2 Journal of Theoretical Biology 1 Archive for Rational Mechanics and Analysis 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Periodica Mathematica Hungarica 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Scientific Computing 1 Science in China. Series A 1 Computational Mathematics and Modeling 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Applications of Mathematics ...and 41 more Serials
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#### Cited in 21 Fields

 376 Partial differential equations (35-XX) 286 Ordinary differential equations (34-XX) 92 Operator theory (47-XX) 91 Biology and other natural sciences (92-XX) 35 Numerical analysis (65-XX) 32 Difference and functional equations (39-XX) 23 Global analysis, analysis on manifolds (58-XX) 18 Dynamical systems and ergodic theory (37-XX) 13 Classical thermodynamics, heat transfer (80-XX) 7 Integral equations (45-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Real functions (26-XX) 4 Functional analysis (46-XX) 3 General topology (54-XX) 3 Mechanics of deformable solids (74-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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