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Author ID: biles.daniel-c Recent zbMATH articles by "Biles, Daniel C."
Published as: Biles, Daniel C.; Biles, D. C.
Documents Indexed: 32 Publications since 1992
Reviewing Activity: 170 Reviews
Co-Authors: 10 Co-Authors with 25 Joint Publications
153 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 260 times in 228 Documents Cited by Year
An application of time scales to economics. Zbl 1187.91125
Atici, Ferhan M.; Biles, Daniel C.; Lebedinsky, Alex
136
2006
First order dynamic inclusions on time scales. Zbl 1064.34009
Atici, F. Merdivenci; Biles, D. C.
20
2004
A generalization of the Lane-Emden equation. Zbl 1035.34003
Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
15
2002
Existence of solutions for discontinuous differential equations. Zbl 0824.34003
Biles, Daniel C.
14
1995
On Carathéodory’s conditions for the initial value problem. Zbl 0869.34004
Biles, D. C.; Binding, P. A.
8
1997
Solvability of a finite or infinite system of discontinuous quasimonotone differential equations. Zbl 0959.34012
Biles, Daniel C.; Schechter, Eric
8
2000
First- and second-order dynamic equations with impulse. Zbl 1100.39018
Atici, F. M.; Biles, D. C.
8
2005
Continuous dependence of nonmonotonic discontinuous differential equations. Zbl 0787.34009
Biles, Daniel C.
8
1993
First-order singular and discontinuous differential equations. Zbl 1190.34007
Biles, Daniel C.; Pouso, Rodrigo López
6
2009
Nyström methods and singular second-order differential equations. Zbl 1165.65363
Benko, David; Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
5
2008
Numerical approximation for singular second order differential equations. Zbl 1165.65369
Benko, D.; Biles, D. C.; Robinson, M. P.; Spraker, J. S.
5
2009
A comparison of the Carathéodory and Filippov solution sets. Zbl 0854.34012
Spraker, John S.; Biles, Daniel C.
5
1996
Fixed point approaches to the solution of integral inclusions. Zbl 1085.45004
Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
3
2005
A utility maximisation problem on multiple time scales. Zbl 1209.93096
Atici, Ferhan M.; Biles, Daniel C.; Lebedinsky, Alex
3
2011
A necessary and sufficient condition for to existence of solutions the differential inclusions. Zbl 0910.34029
Biles, Daniel C.
2
1998
Existence of positive solutions for a fourth order differential inclusion. Zbl 1270.34035
Biles, Daniel C.; Spraker, John S.
2
2012
Initial value problems for singular and nonsmooth second order differential inclusions. Zbl 1136.34012
Biles, Daniel C.; Ángel Cid, J.; López Pouso, Rodrigo
2
2007
A survey of recent results for the generalizations of ordinary differential equations. Zbl 1476.34002
Biles, Daniel C.; Federson, Márcia; Pouso, Rodrigo López
2
2014
A study of almost-everywhere singleton-valued Filippovs. Zbl 0755.34002
Biles, Daniel C.; Spraker, John S.
1
1992
A technique for proving existence of solutions. Zbl 0876.34013
Biles, Daniel C.
1
1997
The stochastic Itô integral on time scales. Zbl 1229.60067
Atici, Ferhan M.; Biles, Daniel C.
1
2010
Extremal solutions to first-order differential inclusions under weak assumptions. Zbl 1231.34025
Biles, Daniel C.; Lopez Pouso, Rodrigo
1
2011
Existence of solutions for singular differential inclusions. Zbl 1141.34006
Biles, Daniel C.
1
2007
Subfunctions and cone conditions for initial value problems. Zbl 0918.34003
Biles, Daniel C.; Binding, Paul A.
1
1997
Uniqueness of solutions for second order differential equations. Zbl 1327.34011
Biles, Daniel C.; Spraker, John S.
1
2015
Further developement of stochastic calculus on time scales. Zbl 1326.60102
Atici, Ferhan M.; Biles, Daniel C.
1
2015
Uniqueness of solutions for second order differential equations. Zbl 1327.34011
Biles, Daniel C.; Spraker, John S.
1
2015
Further developement of stochastic calculus on time scales. Zbl 1326.60102
Atici, Ferhan M.; Biles, Daniel C.
1
2015
A survey of recent results for the generalizations of ordinary differential equations. Zbl 1476.34002
Biles, Daniel C.; Federson, Márcia; Pouso, Rodrigo López
2
2014
Existence of positive solutions for a fourth order differential inclusion. Zbl 1270.34035
Biles, Daniel C.; Spraker, John S.
2
2012
A utility maximisation problem on multiple time scales. Zbl 1209.93096
Atici, Ferhan M.; Biles, Daniel C.; Lebedinsky, Alex
3
2011
Extremal solutions to first-order differential inclusions under weak assumptions. Zbl 1231.34025
Biles, Daniel C.; Lopez Pouso, Rodrigo
1
2011
The stochastic Itô integral on time scales. Zbl 1229.60067
Atici, Ferhan M.; Biles, Daniel C.
1
2010
First-order singular and discontinuous differential equations. Zbl 1190.34007
Biles, Daniel C.; Pouso, Rodrigo López
6
2009
Numerical approximation for singular second order differential equations. Zbl 1165.65369
Benko, D.; Biles, D. C.; Robinson, M. P.; Spraker, J. S.
5
2009
Nyström methods and singular second-order differential equations. Zbl 1165.65363
Benko, David; Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
5
2008
Initial value problems for singular and nonsmooth second order differential inclusions. Zbl 1136.34012
Biles, Daniel C.; Ángel Cid, J.; López Pouso, Rodrigo
2
2007
Existence of solutions for singular differential inclusions. Zbl 1141.34006
Biles, Daniel C.
1
2007
An application of time scales to economics. Zbl 1187.91125
Atici, Ferhan M.; Biles, Daniel C.; Lebedinsky, Alex
136
2006
First- and second-order dynamic equations with impulse. Zbl 1100.39018
Atici, F. M.; Biles, D. C.
8
2005
Fixed point approaches to the solution of integral inclusions. Zbl 1085.45004
Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
3
2005
First order dynamic inclusions on time scales. Zbl 1064.34009
Atici, F. Merdivenci; Biles, D. C.
20
2004
A generalization of the Lane-Emden equation. Zbl 1035.34003
Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
15
2002
Solvability of a finite or infinite system of discontinuous quasimonotone differential equations. Zbl 0959.34012
Biles, Daniel C.; Schechter, Eric
8
2000
A necessary and sufficient condition for to existence of solutions the differential inclusions. Zbl 0910.34029
Biles, Daniel C.
2
1998
On Carathéodory’s conditions for the initial value problem. Zbl 0869.34004
Biles, D. C.; Binding, P. A.
8
1997
A technique for proving existence of solutions. Zbl 0876.34013
Biles, Daniel C.
1
1997
Subfunctions and cone conditions for initial value problems. Zbl 0918.34003
Biles, Daniel C.; Binding, Paul A.
1
1997
A comparison of the Carathéodory and Filippov solution sets. Zbl 0854.34012
Spraker, John S.; Biles, Daniel C.
5
1996
Existence of solutions for discontinuous differential equations. Zbl 0824.34003
Biles, Daniel C.
14
1995
Continuous dependence of nonmonotonic discontinuous differential equations. Zbl 0787.34009
Biles, Daniel C.
8
1993
A study of almost-everywhere singleton-valued Filippovs. Zbl 0755.34002
Biles, Daniel C.; Spraker, John S.
1
1992
all top 5

Cited by 295 Authors

16 Torres, Delfim Fernando Marado
12 López Pouso, Rodrigo
10 Malinowska, Agnieszka Barbara
9 Malik, Muslim
8 Agarwal, Ravi P.
8 Biles, Daniel C.
8 Martins, Natália F.
8 Zhang, Yi
7 Bohner, Martin J.
7 Kumar, Vipin
7 Liu, Haidong
5 Girejko, Ewa
5 O’Regan, Donal
5 Spraker, John S.
5 Su, Youhui
5 Wang, Chao
4 Abbas, Syed
4 Chang, Yong-Kui
4 Cid, José Ángel
4 Djemai, Mohamed
4 Li, Wan-Tong
4 Negi, Shekhar Singh
4 Šimon Hilscher, Roman
4 Zeidan, Vera Michel
3 Aslanov, Afgan
3 Bartosiewicz, Zbigniew
3 Es-Saiydy, Mohssine
3 Fagbemigun, Bosede. O.
3 Gülsu, Mustafa
3 Merdivenci Atici, Ferhan
3 Mesquita, Jaqueline Godoy
3 Mogbademu, Adesanmi Alao
3 Öztürk, Yalçın
3 Wei, Wei
3 Zhai, Xianghua
3 Zhan, Zaidong
3 Zhang, Youwei
3 Zitane, Mohamed
2 Al-Salih, Rasheed
2 Anastassiou, George Angelos
2 Ben Nasser, Bacem
2 Benko, David
2 Bourdin, Loïc
2 Cabada, Alberto
2 Chen, Tianping
2 Cichoń, Mieczysław
2 Defoort, Michael
2 dos Santos, Iguer Luis Domini
2 Federson, Márcia
2 Feng, Zhaosheng
2 Figueroa Sestelo, Rubén
2 Frigon, Marlène
2 Fu, Jingli
2 Heidarkhani, Shapour
2 Heikkilä, Seppo V.
2 Henríquez, Hernán R.
2 Hong, Shihuang
2 Huang, Canyun
2 Kaymakçalan, Billur
2 Kuznetsova, Mariya Andreevna
2 Laleg-Kirati, Taous-Meriem
2 Li, Yongkun
2 Lin, Wei
2 Lizama, Carlos
2 Lu, Wenlian
2 Machado, Luis
2 Oguz, Arzu Denk
2 Otero-Espinar, Maria Victoria
2 Pawłuszewicz, Ewa
2 Pelen, Neslihan Nesliye
2 Precup, Radu
2 Robinson, Mark P.
2 Rodríguez-López, Jorge
2 Rzymowski, Witold
2 Sakthivel, Rathinasamy
2 Satco, Bianca-Renata
2 Schneider, Baruch
2 Silva, Geraldo Nunes
2 Song, Chuanjing
2 Tikare, Sanket A.
2 Topal, Fatma Serap
2 Trélat, Emmanuel
2 Truong, Tri Quoc
2 Vivero, Dolores R.
2 Xia, Yonghui
2 Xu, Huiye
2 Zhong, Wenyong
1 Abdeljawad, Thabet
1 Adivar, Murat
1 Ahamed, Md. Suzan
1 Ahmad, Bashir
1 Ahmad, Hijaz
1 Alabert, Aureli
1 Alam, Sultan
1 Almeida, Ricardo
1 Alzabut, Jehad O.
1 Andrade da Silva, F.
1 Athreya, Siva R.
1 Awan, Khalid Mahmood
1 Ayazi, Farahnaz
...and 195 more Authors
all top 5

Cited in 103 Serials

16 Advances in Difference Equations
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Computers & Mathematics with Applications
9 Journal of Mathematical Analysis and Applications
8 Mathematical Methods in the Applied Sciences
8 Applied Mathematics and Computation
7 Abstract and Applied Analysis
5 Applied Mathematics Letters
5 Journal of Inequalities and Applications
5 Discrete Dynamics in Nature and Society
5 Boundary Value Problems
4 Applicable Analysis
4 Proceedings of the American Mathematical Society
4 Mathematical and Computer Modelling
4 Differential Equations and Dynamical Systems
3 Journal of Computational and Applied Mathematics
3 Journal of Differential Equations
3 Topological Methods in Nonlinear Analysis
3 Computational and Applied Mathematics
3 Journal of Difference Equations and Applications
3 Journal of Applied Analysis and Computation
2 International Journal of Control
2 Journal of Mathematical Physics
2 Chaos, Solitons and Fractals
2 Mathematische Annalen
2 Results in Mathematics
2 Acta Applicandae Mathematicae
2 Pattern Recognition
2 Journal of Vibration and Control
2 The ANZIAM Journal
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Applied Mathematics and Computing
2 Optimization Letters
2 Journal of Mathematical Inequalities
2 Nonlinear Analysis. Hybrid Systems
2 Differential Equations and Applications
2 International Journal of Applied and Computational Mathematics
2 Applied Mathematics and Nonlinear Sciences
1 Acta Mechanica
1 Computer Physics Communications
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Engineering Mathematics
1 Mathematical Notes
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Applied Mathematics and Optimization
1 Czechoslovak Mathematical Journal
1 Fuzzy Sets and Systems
1 Journal of Functional Analysis
1 Journal of Optimization Theory and Applications
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Optimal Control Applications & Methods
1 Systems & Control Letters
1 Applied Numerical Mathematics
1 Optimization
1 MCSS. Mathematics of Control, Signals, and Systems
1 Neural Networks
1 Neural Computation
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 SIAM Review
1 Russian Mathematics
1 Electronic Journal of Differential Equations (EJDE)
1 Turkish Journal of Mathematics
1 Filomat
1 Complexity
1 Arab Journal of Mathematical Sciences
1 European Journal of Control
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Honam Mathematical Journal
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Dynamical and Control Systems
1 Qualitative Theory of Dynamical Systems
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Analysis. Modelling and Control
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Decisions in Economics and Finance
1 Hacettepe Journal of Mathematics and Statistics
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Fixed Point Theory and Applications
1 Journal of Industrial and Management Optimization
1 Communications in Mathematical Analysis
1 Nonlinear Oscillations
1 Journal of Fixed Point Theory and Applications
1 Journal of Physics A: Mathematical and Theoretical
1 Chinese Journal of Physics (Taipei)
1 Applicable Analysis and Discrete Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Nonlinear Science and Applications
1 International Journal of Differential Equations
1 International Journal of Nonlinear Analysis and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Bulletin of Mathematical Sciences
1 Mathematical Control and Related Fields
1 Palestine Journal of Mathematics
1 Mathematical Sciences
1 Journal of Classical Analysis
...and 3 more Serials
all top 5

Cited in 36 Fields

156 Ordinary differential equations (34-XX)
43 Real functions (26-XX)
35 Difference and functional equations (39-XX)
33 Calculus of variations and optimal control; optimization (49-XX)
30 Operator theory (47-XX)
22 Systems theory; control (93-XX)
15 Integral equations (45-XX)
13 Numerical analysis (65-XX)
11 Mechanics of particles and systems (70-XX)
10 Partial differential equations (35-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Biology and other natural sciences (92-XX)
7 Operations research, mathematical programming (90-XX)
5 Computer science (68-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Abstract harmonic analysis (43-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Special functions (33-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of deformable solids (74-XX)
3 Astronomy and astrophysics (85-XX)
2 Measure and integration (28-XX)
2 Sequences, series, summability (40-XX)
2 Probability theory and stochastic processes (60-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year