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1. An Introduction to Complex Analysis. 1
by Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-1-4614-0195-7
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2. Nonoscillation Theory of Functional Differential Equations with Applications
by Ravi P. Agarwal, Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky
出版情報: New York, NY : Springer New York, 2012
オンライン: http://dx.doi.org/10.1007/978-1-4614-3455-9
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3. Inequalities for Differential Forms
by Ravi P. Agarwal, Shusen Ding, Craig Nolder
出版情報: New York, NY : Springer-Verlag New York, 2009
オンライン: http://dx.doi.org/10.1007/978-0-387-68417-8
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4. Fixed Point Theory for Lipschitzian-type Mappings with Applications
by D. R. Sahu, Donal O'Regan, Ravi P. Agarwal
出版情報: New York, NY : Springer-Verlag New York, 2009
シリーズ名: Topological Fixed Point Theory and Its Applications ; 6
オンライン: http://dx.doi.org/10.1007/978-0-387-75818-3
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5. Ordinary and Partial Differential Equations : With Special Functions, Fourier Series, and Boundary Value Problems
by Ravi P. Agarwal, Donal O’Regan ; edited by Sheldon Axler, Vincenzo Capasso, Carles Casacuberta, Angus J. Macintyre, K.A. Ribet, Claude Sabbah, Endre Süli, Wojbor Andrzej Woyczynski
出版情報: New York, NY : Springer New York, 2009
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-0-387-79146-3
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6. Applications of q-Calculus in Operator Theory
by Ali Aral, Vijay Gupta, Ravi P Agarwal
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-6946-9
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Introduction of q-calculus
q-Discrete operators and their results
q-Integral operators
q-Bernstein type integral operators
q-Summation-integral operators
Statistical convergence of q-operators
q-Complex operators
Introduction of q-calculus
q-Discrete operators and their results
q-Integral operators
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7. Constant-Sign Solutions of Systems of Integral Equations
by Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-3-319-01255-1
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Introduction and Preliminaries
System of Fredholm Integral Equations: Existence of a Constant-Sign Solution
System of Fredholm Integral Equations: Eigenvalues
System of Fredholm Integral Equations: Triple Constant-Sign Solutions
System of Fredholm Integral Equations: Existence of a Constant-Sign Lp Solution
System of Fredholm Integral Equations: Semipositone and Singular Case
Systems of Fredholm and Volterra Integral Equations: Integrable Singularities
Systems of Higher Order Boundary Value Problems: Integrable Singularities
System of Volterra Integral Equations: Integrable Singularities
Systems of Fredholm and Volterra Integral Equations: the Singular Case
System of Singular Fredholm Integral Equations
System of Singular Integral Equations of Hammerstein Type
System Modeling the Spread of Interdependent Epidemics: Constant-Sign Periodic Solutions
System of Hill’s Equations: Constant-Sign Periodic Solutions
System of Integral Equations: Constant-Sign Periodic and Almost Periodic Solutions
System of Fredholm Integral Equations: Solutions in Orlicz Spaces
System of Volterra Integral Equations: Constant-Sign Solutions in Orlicz Spaces
System of Urysohn Integral Equations: Existence of a Constant-Sign Solution
System of Fredholm Integral Equations: Existence Results via Brezis-Browder Arguments
System of Volterra Integral Equations: Existence Results via Brezis-Browder Arguments
Bibliography
Subject Index
Introduction and Preliminaries
System of Fredholm Integral Equations: Existence of a Constant-Sign Solution
System of Fredholm Integral Equations: Eigenvalues
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8. Convergence Estimates in Approximation Theory
by Vijay Gupta, Ravi P. Agarwal
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-3-319-02765-4
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目次情報: 続きを見る
1. Preliminaries
2. Approximation by Certain Operators
3. Complete Asymptotic Expansion
4. Linear and Iterative Combinations
5. Better Approximation
6. Complex Operators in Compact Disks
7. Rate of Convergence for Functions of BV
8. Convergence for BV/Bounded Functions on Bezier Variants
9. Some More Results on Rate of Convergence
10. Rate of Convergence in Simultaneous Approximation
11. Future Scope and Open Problems
1. Preliminaries
2. Approximation by Certain Operators
3. Complete Asymptotic Expansion
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9. Regularity of Difference Equations on Banach Spaces
by Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-3-319-06447-5
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1. Discrete Semi groups and Cosine Operators
2. Maximal regularity and the method of Fourier Multipliers
3. First Order Linear Difference Equations
4. First Order Semi linear Difference Equations
5. Second Order Linear Difference Equations
6. Second Order Semi linear
7. Applications
1. Discrete Semi groups and Cosine Operators
2. Maximal regularity and the method of Fourier Multipliers
3. First Order Linear Difference Equations
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10. Oscillation and Stability of Delay Models in Biology
by Ravi P. Agarwal, Donal O'Regan, Samir H. Saker
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-3-319-06557-1
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1. Logistic Models
2. Oscillation of Delay Logistic Models
3. Stability of Delay Logistic Models
4. Logistic Models with Piecewise Arguments
5. Food-Limited Population Models
6. Logistic Models with Diffusions
1. Logistic Models
2. Oscillation of Delay Logistic Models
3. Stability of Delay Logistic Models
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11. An Introduction to Ordinary Differential Equations
by Donal O'Regan, Ravi P. Agarwal
出版情報: New York, NY : Springer-Verlag New York, 2008
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-0-387-71276-5
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12. Theory of Translation Closedness for Time Scales : With Applications in Translation Functions and Dynamic Equations. 1st ed. 2020
by Chao Wang, Ravi P. Agarwal, Donal O' Regan, Rathinasamy Sakthivel
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Developments in Mathematics ; 62
オンライン: https://doi.org/10.1007/978-3-030-38644-3
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Preface
Preliminaries and Basic Knowledge on Time Scales
A Classification of Closedness of Time Scales under Translations
Almost Periodic Functions and Generalizations on Complete-Closed Time Scales
Piecewise Almost Periodic Functions and Generalizations on Translation Time Scales
Almost Automorphic Functions and Generalizations on Translation Time Scales
Nonlinear Dynamic Equations on Translation Time Scales
Impulsive Dynamic Equations on Translation Time Scales
Almost Automorphic Dynamic Equations on Translation Time Scales
Analysis of Dynamical System Models on Translation Time Scales
Index
Preface
Preliminaries and Basic Knowledge on Time Scales
A Classification of Closedness of Time Scales under Translations
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13. Optimal Control. 2nd ed. 2021
by Leonid T. Ashchepkov, Dmitriy V. Dolgy, Taekyun Kim, Ravi P. Agarwal
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-91029-7
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目次情報: 続きを見る
- Preface
Part I: Introduction
Subject of optimal control
Mathematical model for controlled object
Part II: Control of Linear Systems
Reachability set
Controllability of linear systems
Minimum time problem
Synthesis of optimal system performance
The observability problem
Identification problem
Part III: Control of Nonlinear Systems
Types of optimal control problems
Small increments of a trajectory
The simplest problem of optimal control
General optimal control problem
Problems with intermediate states
Extremals field theory
Sufficient optimality conditions
Conclusion
Appendix
Examples of tasks and solution
Bibliography
- Preface
Part I: Introduction
Subject of optimal control
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14. Lyapunov Inequalities and Applications. 1st ed. 2021
by Ravi P. Agarwal, Martin Bohner, Abdullah Özbekler
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-69029-8
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Preface
Lyapunov-Type Inequalities for Second-Order Linear Differential Equations
Lyapunov-Type Inequalities for Higher-Order Linear Differential Equations
Lyapunov-Type Inequalities for Half-Linear Differential Equations
Lyapunov-Type Inequalities for Nonlinear Differential Systems
Lyapunov-Type Inequalities for Fractional Differential Equations
Lyapunov-Type Inequalities for Partial Differential Equations
Lyapunov-Type Inequalities for Difference Equations
Lyapunov-Type Inequalities for Dynamic Equations on Time Scales
References
Index
Preface
Lyapunov-Type Inequalities for Second-Order Linear Differential Equations
Lyapunov-Type Inequalities for Higher-Order Linear Differential Equations
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15. Combined Measure and Shift Invariance Theory of Time Scales and Applications. 1st ed. 2022
by Chao Wang, Ravi P. Agarwal
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Developments in Mathematics ; 77
オンライン: https://doi.org/10.1007/978-3-031-11619-3
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Riemann Integration, Stochastic Calculus and Shift Operators on Time Scales
♢α-Measurability and Combined Measure Theory on Time Scales
Shift Invariance and Matched Spaces of Time Scales
Almost Periodic Functions under Matched Spaces of Time Scales
Almost Automorphic Functions under Matched Spaces of Time Scales
C0-Semigroup and Stepanov-like Almost Automorphic Functions on Hybrid Time Scales
Almost Periodic Dynamic Equations under Matched Spaces
Almost Automorphic Dynamic Equations under Matched Spaces
Applications on Dynamics Models under Matched Spaces
Riemann Integration, Stochastic Calculus and Shift Operators on Time Scales
♢α-Measurability and Combined Measure Theory on Time Scales
Shift Invariance and Matched Spaces of Time Scales