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## Dunninger, Dennis R.

Compute Distance To:
 Author ID: dunninger.dennis-r Published as: Dunninger, D. R.; Dunninger, D. Further Spellings: Dunninger, Dennis Robert External Links: MGP
 Documents Indexed: 40 Publications since 1966
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#### Co-Authors

 16 single-authored 3 Wang, Haiyan 2 Diaz, Joaquin Basilio 2 Kurtz, J. C. 2 Levine, Howard Allen 2 Miklavčič, Milan 2 Weinacht, Richard J. 2 Zachmanoglou, E. C. 1 Cannon, John Rozier 1 Cushing, Jim M. 1 Lasota, Andrzej 1 Locker, John 1 Martin, Monroe Harnish 1 Schuur, Jerry D.
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#### Serials

 7 Journal of Mathematical Analysis and Applications 5 Applicable Analysis 3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 3 Nonlinear Analysis. Theory, Methods & Applications 2 Annales Polonici Mathematici 2 Journal of Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Bollettino della Unione Matemàtica Italiana. Serie VI. A 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Demonstratio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 SIAM Journal on Applied Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journal of Mathematics and Mechanics 1 Journal of Mathematics and Physics
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#### Fields

 26 Partial differential equations (35-XX) 11 Ordinary differential equations (34-XX) 3 Potential theory (31-XX) 2 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 342 times in 267 Documents Cited by Year
Existence and multiplicity of positive solutions for elliptic systems. Zbl 0885.35028
Dunninger, D. R.; Wang, Haiyan
1997
Multiplicity of positive radial solutions for an elliptic system on an annulus. Zbl 0959.35051
Dunninger, D. R.; Wang, Haiyan
2000
Existence of solutions for some nonlinear singular boundary value problems. Zbl 0616.34012
Dunninger, D. R.; Kurtz, J. C.
1986
A priori bounds and existence of positive solutions for singular nonlinear boundary value problems. Zbl 0595.34016
Dunninger, D. R.; Kurtz, J. C.
1986
Maximum principles for solutions of some fourth-order elliptic equations. Zbl 0227.35039
Dunninger, D. R.
1972
A Sturm comparison theorem for some degenerate quasilinear elliptic operators. Zbl 0834.35011
Dunninger, D. R.
1995
Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions. Zbl 0921.34024
Dunninger, D. R.; Wang, Haiyan
1998
The condition for uniqueness of solutions of the Dirichlet problem for the wave equation in coordinate rectangles. Zbl 0157.41203
Dunninger, D. R.; Zachmanoglou, E. C.
1967
The condition for uniqueness of the Dirichlet problem for hyperbolic equations in cylindrical domains. Zbl 0177.14103
Dunninger, D. R.; Zachmanoglou, E. C.
1969
Determination of an unknown forcing function in a hyperbolic equation from overspecified data. Zbl 0212.12701
Cannon, J. R.; Dunninger, D. R.
1970
A maximum principle for fourth order ordinary differential equations. Zbl 0286.34020
Chow, Shui-Nee; Dunninger, D. R.; Lasota, A.
1973
A maximum principle for n-metaharmonic functions. Zbl 0295.31004
Chow, Shui-Nee; Dunninger, D. R.
1974
Monotone operators and nonlinear biharmonic boundary value problems. Zbl 0312.35034
Dunninger, D. R.; Locker, John
1975
Multiplicity of positive solutions for a nonlinear fourth order equation. Zbl 0989.34014
Dunninger, D. R.
2001
Uniqueness and comparison theorems for harmonic functions under boundary conditions. Zbl 0149.32402
Dunninger, D. R.
1967
Uniqueness criteria for solutions to abstract boundary value problems. Zbl 0336.35090
Dunninger, D. R.; Levine, Howard A.
1976
Existence of positive solutions for fourth order nonlinear problems. Zbl 0643.34020
Dunninger, D. R.
1987
Maximum principles for fourth order ordinary differential inequalities. Zbl 0496.34010
Dunninger, D. R.
1981
A Picone identity for non-self-adjoint elliptic operators. Zbl 0195.39403
Dunninger, D. R.
1970
Improperly posed problems for singular equations of the fourth order. Zbl 0338.35079
Dunninger, D. R.; Weinacht, R. J.
1975
On some uniqueness theorems for nonlinear boundary problems. Zbl 0186.17401
Dunninger, D. R.
1968
The Dirichlet problem for a nonhomogeneous wave equation. Zbl 0528.35059
Dunninger, D. R.
1983
On a uniqueness question of Levi-Civita. Zbl 0148.45907
Dunninger, D.; Martin, M. H.
1966
Separation and comparison theorems for classes of singular elliptic inequalities and degenerate elliptic inequalities. Zbl 0213.37703
Dunninger, D. R.; Weinacht, R. J.
1971
Uniqueness criteria for solutions of singular boundary value problems. Zbl 0329.35050
Dunninger, D. R.; Levine, Howard A.
1976
Existence of solutions of nonlinear singular elliptic problems. Zbl 0508.35035
Dunninger, D. R.
1982
A Picone integral identity for a class of fourth order elliptic differential inequalities. Zbl 0249.35023
Dunninger, D. R.
1971
Sturmian theorems for a class of elliptic equations of order 4m. Zbl 0304.35004
Diaz, J. B.; Dunninger, D. R.
1974
Sturm separation and comparison theorems for a class of fourth order ordinary and partial differential equations. Zbl 0319.35009
Diaz, J. B.; Dunninger, D. R.
1975
On Liouville-type theorems for elliptic and parabolic systems. Zbl 0428.35034
Dunninger, D. R.
1979
On a semilinear biharmonic equation. Zbl 0747.35008
Dunninger, D. R.; Miklavčič, M.
1991
Lyapunov functions satisfying $$\ddot V > 0$$. Zbl 0276.34049
Chow, Shui-Nee; Dunninger, D. R.
1974
Local uniqueness theorems for a class of higher order elliptic equations. Zbl 0289.35033
Chow, Shui-Nee; Dunninger, D. R.
1974
Uniqueness theorems under nonlinear boundary conditions for some quasi- linear elliptic equations. Zbl 0216.12603
Cushing, J. M.; Dunninger, D. R.
1971
Multiplicity of positive solutions for a nonlinear fourth order equation. Zbl 0989.34014
Dunninger, D. R.
2001
Multiplicity of positive radial solutions for an elliptic system on an annulus. Zbl 0959.35051
Dunninger, D. R.; Wang, Haiyan
2000
Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions. Zbl 0921.34024
Dunninger, D. R.; Wang, Haiyan
1998
Existence and multiplicity of positive solutions for elliptic systems. Zbl 0885.35028
Dunninger, D. R.; Wang, Haiyan
1997
A Sturm comparison theorem for some degenerate quasilinear elliptic operators. Zbl 0834.35011
Dunninger, D. R.
1995
On a semilinear biharmonic equation. Zbl 0747.35008
Dunninger, D. R.; Miklavčič, M.
1991
Existence of positive solutions for fourth order nonlinear problems. Zbl 0643.34020
Dunninger, D. R.
1987
Existence of solutions for some nonlinear singular boundary value problems. Zbl 0616.34012
Dunninger, D. R.; Kurtz, J. C.
1986
A priori bounds and existence of positive solutions for singular nonlinear boundary value problems. Zbl 0595.34016
Dunninger, D. R.; Kurtz, J. C.
1986
The Dirichlet problem for a nonhomogeneous wave equation. Zbl 0528.35059
Dunninger, D. R.
1983
Existence of solutions of nonlinear singular elliptic problems. Zbl 0508.35035
Dunninger, D. R.
1982
Maximum principles for fourth order ordinary differential inequalities. Zbl 0496.34010
Dunninger, D. R.
1981
On Liouville-type theorems for elliptic and parabolic systems. Zbl 0428.35034
Dunninger, D. R.
1979
Uniqueness criteria for solutions to abstract boundary value problems. Zbl 0336.35090
Dunninger, D. R.; Levine, Howard A.
1976
Uniqueness criteria for solutions of singular boundary value problems. Zbl 0329.35050
Dunninger, D. R.; Levine, Howard A.
1976
Monotone operators and nonlinear biharmonic boundary value problems. Zbl 0312.35034
Dunninger, D. R.; Locker, John
1975
Improperly posed problems for singular equations of the fourth order. Zbl 0338.35079
Dunninger, D. R.; Weinacht, R. J.
1975
Sturm separation and comparison theorems for a class of fourth order ordinary and partial differential equations. Zbl 0319.35009
Diaz, J. B.; Dunninger, D. R.
1975
A maximum principle for n-metaharmonic functions. Zbl 0295.31004
Chow, Shui-Nee; Dunninger, D. R.
1974
Sturmian theorems for a class of elliptic equations of order 4m. Zbl 0304.35004
Diaz, J. B.; Dunninger, D. R.
1974
Lyapunov functions satisfying $$\ddot V > 0$$. Zbl 0276.34049
Chow, Shui-Nee; Dunninger, D. R.
1974
Local uniqueness theorems for a class of higher order elliptic equations. Zbl 0289.35033
Chow, Shui-Nee; Dunninger, D. R.
1974
A maximum principle for fourth order ordinary differential equations. Zbl 0286.34020
Chow, Shui-Nee; Dunninger, D. R.; Lasota, A.
1973
Maximum principles for solutions of some fourth-order elliptic equations. Zbl 0227.35039
Dunninger, D. R.
1972
Separation and comparison theorems for classes of singular elliptic inequalities and degenerate elliptic inequalities. Zbl 0213.37703
Dunninger, D. R.; Weinacht, R. J.
1971
A Picone integral identity for a class of fourth order elliptic differential inequalities. Zbl 0249.35023
Dunninger, D. R.
1971
Uniqueness theorems under nonlinear boundary conditions for some quasi- linear elliptic equations. Zbl 0216.12603
Cushing, J. M.; Dunninger, D. R.
1971
Determination of an unknown forcing function in a hyperbolic equation from overspecified data. Zbl 0212.12701
Cannon, J. R.; Dunninger, D. R.
1970
A Picone identity for non-self-adjoint elliptic operators. Zbl 0195.39403
Dunninger, D. R.
1970
The condition for uniqueness of the Dirichlet problem for hyperbolic equations in cylindrical domains. Zbl 0177.14103
Dunninger, D. R.; Zachmanoglou, E. C.
1969
On some uniqueness theorems for nonlinear boundary problems. Zbl 0186.17401
Dunninger, D. R.
1968
The condition for uniqueness of solutions of the Dirichlet problem for the wave equation in coordinate rectangles. Zbl 0157.41203
Dunninger, D. R.; Zachmanoglou, E. C.
1967
Uniqueness and comparison theorems for harmonic functions under boundary conditions. Zbl 0149.32402
Dunninger, D. R.
1967
On a uniqueness question of Levi-Civita. Zbl 0148.45907
Dunninger, D.; Martin, M. H.
1966
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#### Cited by 255 Authors

 14 O’Regan, Donal 11 Dunninger, Dennis R. 9 Schaefer, Philip W. 9 Wang, Haiyan 7 Verma, Amit Kumar 6 Goodrich, Christopher S. 5 Aldashev, Serik Aĭmurzaevich 5 Allegretto, Walter 5 An, Yukun 5 Bobisud, Larry E. 5 Cheng, Xiyou 5 Liu, Lishan 5 Ma, Ruyun 5 Pandey, Rajni Kant 5 Ubilla, Pedro 5 Wang, Fanglei 5 Yoshida, Norio 4 Agarwal, Ravi P. 4 Cushing, Jim M. 4 Henderson, Johnny Lee 4 Hussein, S. O. 4 Infante, Gennaro 4 Lesnic, Daniel 4 Prasad Goura, V. M. K. 4 Roul, Pradip 4 Yang, Zhilin 4 Young, Eutiquio C. 3 Cabada, Alberto 3 Cid, José Ángel 3 Do Ó, João M. Bezerra 3 Goyal, Vinod B. 3 Han, Zhenlai 3 Hong, Shihuang 3 Kannan, Rangachary 3 Korman, Philip L. 3 Lakshmikantham, Vangipuram 3 Levine, Howard Allen 3 Lorca, Sebastian Antonio 3 Mareno, Anita 3 Pan, Yuanyuan 3 Petryshyn, Walter Wolodymyr 3 Pietramala, Paolamaria 3 Sanchez, Luís 3 Sun, Shurong 3 Tiryaki, Aydin 3 Wei, Zhongli 3 Wu, Yonghong 3 Zhang, Xinguang 2 Bai, Dingyong 2 Chkadua, George 2 Choi, Q-Heung 2 Cianciaruso, Filomena 2 Cosner, Chris 2 Damirchi, Javad 2 Diaz, Joaquin Basilio 2 Jaroš, Jaroslav 2 Jiang, Daqing 2 Jung, Tacksun 2 Kiguradze, Tariel I. 2 Kreith, Kurt 2 Lee, Yong-Hoon Lee 2 Li, Yong 2 Locker, John 2 Miklavčič, Milan 2 Mohammed, Ahmed 2 Palamides, Panos K. 2 Rashedi, Kamal 2 Ren, Lishun 2 Royalty, W. D. 2 Sager, Herbert C. 2 Shidfar, Abdollah 2 Su, Hua 2 Swanson, Charles A. 2 Tineo, Antonio R. 2 Wu, Xian 2 Xu, Yuantong 2 Zhang, Yong 2 Zhang, Zhitao 2 Zhou, Chiping 1 Alexiades, Vasilios 1 Alves, Claudianor Oliveira 1 Ames, Karen A. 1 Arena, Orazio 1 Băleanu, Dumitru I. 1 Baoqiang, Yan 1 Bernis, Francisco 1 Boyadjiev, Lyubomir I. 1 Boyarsky, Abraham 1 Brown, Kenneth J. 1 Cannon, John Rozier 1 Cao, Zhongwei 1 Castro, Hernán 1 Cerda, Patricio 1 Chai, Shimin 1 Chen, Haibo 1 Chen, Ji 1 Chen, Ruipeng 1 Chen, Shaoxiong 1 Chu, Jifeng 1 Clausing, Achim ...and 155 more Authors
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#### Cited in 76 Serials

 47 Journal of Mathematical Analysis and Applications 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Nonlinear Analysis. Theory, Methods & Applications 14 Applied Mathematics and Computation 12 Applicable Analysis 12 Journal of Differential Equations 8 Proceedings of the American Mathematical Society 7 Boundary Value Problems 6 Computers & Mathematics with Applications 5 Journal of Computational and Applied Mathematics 5 Journal of Applied Mathematics and Computing 4 Ukrainian Mathematical Journal 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Transactions of the American Mathematical Society 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Abstract and Applied Analysis 3 Rocky Mountain Journal of Mathematics 3 Applied Mathematics Letters 3 Journal of Inequalities and Applications 3 Advances in Difference Equations 3 Inverse Problems in Science and Engineering 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Czechoslovak Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Topological Methods in Nonlinear Analysis 2 Applied Mathematics. Series B (English Edition) 2 Journal of Mathematical Sciences (New York) 2 Georgian Mathematical Journal 2 Journal of Difference Equations and Applications 2 Nonlinear Analysis. Real World Applications 2 Mediterranean Journal of Mathematics 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Advances in Numerical Analysis 1 Periodica Mathematica Hungarica 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Mathematika 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Siberian Mathematical Journal 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Mathematical Imaging and Vision 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Applied Analysis 1 Positivity 1 Mathematical Inequalities & Applications 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Journal of the Australian Mathematical Society 1 Computational Methods in Applied Mathematics 1 Computational Methods and Function Theory 1 Milan Journal of Mathematics 1 Analysis in Theory and Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Bulletin of the American Mathematical Society 1 International Journal of Control, I. Series 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Complex Variables and Elliptic Equations 1 Differential Equations and Applications 1 International Journal of Differential Equations 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 ISRN Mathematical Analysis 1 Mathematical Sciences 1 Chinese Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 21 Fields

 142 Ordinary differential equations (34-XX) 117 Partial differential equations (35-XX) 53 Operator theory (47-XX) 16 Numerical analysis (65-XX) 13 Integral equations (45-XX) 8 Difference and functional equations (39-XX) 7 Potential theory (31-XX) 6 Real functions (26-XX) 3 Mechanics of deformable solids (74-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)