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## Wheeler, Robert Lee

Compute Distance To:
 Author ID: wheeler.robert-l Published as: Wheeler, R. L.; Wheeler, Robert L. External Links: MGP
 Documents Indexed: 35 Publications since 1972, including 1 Book
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#### Co-Authors

 5 single-authored 15 Hannsgen, Kenneth B. 11 Jordan, G. Samuel 5 Staffans, Olof Johan 3 Desch, Wolfgang 3 Miller, Richard K. 1 Herdman, Terry L. 1 Madych, Wally R. 1 Renardy, Yuriko Yamamuro 1 Stech, Harlan W.
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#### Serials

 7 SIAM Journal on Mathematical Analysis 3 Proceedings of the American Mathematical Society 3 Journal of Integral Equations 2 Journal of Mathematical Analysis and Applications 2 Journal of Differential Equations 2 Journal of Integral Equations and Applications 1 Funkcialaj Ekvacioj. Serio Internacia 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Journal of Dynamical and Control Systems 1 Lecture Notes in Pure and Applied Mathematics
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#### Fields

 28 Integral equations (45-XX) 8 Mechanics of deformable solids (74-XX) 8 Systems theory; control (93-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 156 times in 117 Documents Cited by Year
Well-posedness and stability of linear Volterra integrodifferential equations in abstract spaces. Zbl 0399.45021
Miller, Richard K.; Wheeler, Robert L.
1978
Behavior of the solution of a Volterra equation as a parameter tends to infinity. Zbl 0552.45010
Hannsgen, Kenneth B.; Wheeler, Robert L.
1984
Local analyticity in weighted $$L^ 1-$$spaces and applications to stability problems for Volterra equations. Zbl 0499.45007
Jordan, G. S.; Staffans, Olof J.; Wheeler, Robert L.
1982
Asymptotic behavior for a linear Volterra integral equation in Hilbert space. Zbl 0341.45017
Miller, Richard K.; Wheeler, Robert L.
1977
Structure of resolvents of Volterra integral and integrodifferential systems. Zbl 0434.45008
Jordan, G. S.; Wheeler, Robert L.
1980
Effectiveness and robustness with respect to time delays of boundary feedback stabilization in one-dimensional viscoelasticity. Zbl 0655.93056
Hannsgen, Kenneth B.; Renardy, Yuriko; Wheeler, Robert L.
1988
Uniform $$L^ 1$$ behavior in classes of integrodifferential equations with completely monotonic kernels. Zbl 0539.45008
Hannsgen, Kenneth B.; Wheeler, Robert L.
1984
Complete monotonicity and resolvents of Volterra integrodifferential equations. Zbl 0506.45007
Hannsgen, Kenneth B.; Wheeler, Robert L.
1982
A generalization of the Wiener-Levy theorem applicable to some Volterra equations. Zbl 0334.45005
Jordan, G. S.; Wheeler, Robert L.
1976
Weighted $$L^1$$-remainder theorems for resolvents of Volterra equations. Zbl 0445.45002
Jordan, G. S.; Wheeler, Robert L.
1980
Asymptotic behavior of unbounded solutions of linear Volterra integral equations. Zbl 0347.45022
Jordan, G. S.; Wheeler, Robert L.
1976
Linear integral equations with asymptotically almost periodic solutions. Zbl 0327.45011
Jordan, G. S.; Wheeler, Robert L.
1975
A remark on hyperbolic integrodifferential equations. Zbl 0348.45015
Miller, Richard K.; Wheeler, Robert L.
1977
A note on systems of linear integrodifferential equations. Zbl 0256.45017
Wheeler, Robert L.
1972
Destabilization due to delay in one dimensional feedback. Zbl 0686.93074
Desch, Wolfgang; Wheeler, Robert L.
1989
Convolution operators in a fading memory space: The critical case. Zbl 0667.45005
Jordan, G. S.; Staffans, Olof J.; Wheeler, Robert L.
1987
Viscoelastic and boundary feedback damping: Precise energy decay rates when creep modes are dominant. Zbl 0789.73030
Hannsgen, Kenneth B.; Wheeler, Robert L.
1990
Time delays and boundary feedback stabilization in one-dimensional viscoelasticity. Zbl 0641.93048
Hannsgen, Kenneth B.; Wheeler, Robert L.
1987
Rates of decay of resolvents of Volterra equations with certain nonintegrable kernels. Zbl 0438.45002
Jordan, G. S.; Wheeler, Robert L.
1980
On the asymptotic behavior of perturbed Volterra integral equations. Zbl 0239.45004
Jordan, G. S.; Wheeler, Robert L.
1974
A representation formula for one-dimensional viscoelasticity with stabilizing boundary feedback. Zbl 0735.73057
Hannsgen, Kenneth B.; Wheeler, Robert L.
1991
Existence and decay estimates for boundary feedback stabilization of torsional vibrations in a viscoelastic rod. Zbl 0676.73034
Hannsgen, K. B.; Wheeler, R. L.
1989
Subspaces of stable and unstable solutions of a functional differential equation in a fading memory space: the critical case. Zbl 0647.34072
Jordan, G. S.; Staffans, Olof J.; Wheeler, Robert L.
1987
Integrable resolvent operators for integrodifferential equations in Hilbert space. Zbl 0547.45011
Wheeler, R. L.
1984
Volterra and functional differential equations. (Proceedings of the Conference on Volterra and Functional Differential Equations, held June 10-13, 1981, at Virginia Polytechnic Institute and State University in Blacksburg, Virginia). Zbl 0487.00009
Hannsgen, Kenneth B. (ed.); Herdman, Terry L. (ed.); Stech, Harlan W. (ed.); Wheeler, Robert L. (ed.)
1982
Linear convolution integral equations with asymptotically almost periodic solutions. Zbl 0445.45005
Jordan, G. S.; Madych, W. R.; Wheeler, R. L.
1980
Asymptotic behavior of solutions of linear Volterra integrodifferential equations in Hilbert space. Zbl 0417.45005
Wheeler, Robert L.
1979
A maximum modulus analogue of Valiron’s Tauberian theorem for entire functions. Zbl 0266.30032
Wheeler, Robert L.
1973
A representation formula for one-dimensional viscoelasticity with stabilizing boundary feedback. Zbl 0735.73057
Hannsgen, Kenneth B.; Wheeler, Robert L.
1991
Viscoelastic and boundary feedback damping: Precise energy decay rates when creep modes are dominant. Zbl 0789.73030
Hannsgen, Kenneth B.; Wheeler, Robert L.
1990
Destabilization due to delay in one dimensional feedback. Zbl 0686.93074
Desch, Wolfgang; Wheeler, Robert L.
1989
Existence and decay estimates for boundary feedback stabilization of torsional vibrations in a viscoelastic rod. Zbl 0676.73034
Hannsgen, K. B.; Wheeler, R. L.
1989
Effectiveness and robustness with respect to time delays of boundary feedback stabilization in one-dimensional viscoelasticity. Zbl 0655.93056
Hannsgen, Kenneth B.; Renardy, Yuriko; Wheeler, Robert L.
1988
Convolution operators in a fading memory space: The critical case. Zbl 0667.45005
Jordan, G. S.; Staffans, Olof J.; Wheeler, Robert L.
1987
Time delays and boundary feedback stabilization in one-dimensional viscoelasticity. Zbl 0641.93048
Hannsgen, Kenneth B.; Wheeler, Robert L.
1987
Subspaces of stable and unstable solutions of a functional differential equation in a fading memory space: the critical case. Zbl 0647.34072
Jordan, G. S.; Staffans, Olof J.; Wheeler, Robert L.
1987
Behavior of the solution of a Volterra equation as a parameter tends to infinity. Zbl 0552.45010
Hannsgen, Kenneth B.; Wheeler, Robert L.
1984
Uniform $$L^ 1$$ behavior in classes of integrodifferential equations with completely monotonic kernels. Zbl 0539.45008
Hannsgen, Kenneth B.; Wheeler, Robert L.
1984
Integrable resolvent operators for integrodifferential equations in Hilbert space. Zbl 0547.45011
Wheeler, R. L.
1984
Local analyticity in weighted $$L^ 1-$$spaces and applications to stability problems for Volterra equations. Zbl 0499.45007
Jordan, G. S.; Staffans, Olof J.; Wheeler, Robert L.
1982
Complete monotonicity and resolvents of Volterra integrodifferential equations. Zbl 0506.45007
Hannsgen, Kenneth B.; Wheeler, Robert L.
1982
Volterra and functional differential equations. (Proceedings of the Conference on Volterra and Functional Differential Equations, held June 10-13, 1981, at Virginia Polytechnic Institute and State University in Blacksburg, Virginia). Zbl 0487.00009
Hannsgen, Kenneth B. (ed.); Herdman, Terry L. (ed.); Stech, Harlan W. (ed.); Wheeler, Robert L. (ed.)
1982
Structure of resolvents of Volterra integral and integrodifferential systems. Zbl 0434.45008
Jordan, G. S.; Wheeler, Robert L.
1980
Weighted $$L^1$$-remainder theorems for resolvents of Volterra equations. Zbl 0445.45002
Jordan, G. S.; Wheeler, Robert L.
1980
Rates of decay of resolvents of Volterra equations with certain nonintegrable kernels. Zbl 0438.45002
Jordan, G. S.; Wheeler, Robert L.
1980
Linear convolution integral equations with asymptotically almost periodic solutions. Zbl 0445.45005
Jordan, G. S.; Madych, W. R.; Wheeler, R. L.
1980
Asymptotic behavior of solutions of linear Volterra integrodifferential equations in Hilbert space. Zbl 0417.45005
Wheeler, Robert L.
1979
Well-posedness and stability of linear Volterra integrodifferential equations in abstract spaces. Zbl 0399.45021
Miller, Richard K.; Wheeler, Robert L.
1978
Asymptotic behavior for a linear Volterra integral equation in Hilbert space. Zbl 0341.45017
Miller, Richard K.; Wheeler, Robert L.
1977
A remark on hyperbolic integrodifferential equations. Zbl 0348.45015
Miller, Richard K.; Wheeler, Robert L.
1977
A generalization of the Wiener-Levy theorem applicable to some Volterra equations. Zbl 0334.45005
Jordan, G. S.; Wheeler, Robert L.
1976
Asymptotic behavior of unbounded solutions of linear Volterra integral equations. Zbl 0347.45022
Jordan, G. S.; Wheeler, Robert L.
1976
Linear integral equations with asymptotically almost periodic solutions. Zbl 0327.45011
Jordan, G. S.; Wheeler, Robert L.
1975
On the asymptotic behavior of perturbed Volterra integral equations. Zbl 0239.45004
Jordan, G. S.; Wheeler, Robert L.
1974
A maximum modulus analogue of Valiron’s Tauberian theorem for entire functions. Zbl 0266.30032
Wheeler, Robert L.
1973
A note on systems of linear integrodifferential equations. Zbl 0256.45017
Wheeler, Robert L.
1972
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#### Cited by 96 Authors

 13 Xu, Da 10 Vlasov, Viktor Valentinovich 9 Staffans, Olof Johan 7 Rautian, Nadegda Aleksandrovna 7 Wheeler, Robert Lee 6 Grimmer, Ronald 6 Gripenberg, Gustaf 5 Sergeev, V. S. 4 Desch, Wolfgang 4 Hannsgen, Kenneth B. 4 Logemann, Hartmut 4 Miller, Richard K. 3 Appleby, John A. D. 3 Jordan, G. Samuel 3 Leugering, Günter 3 Tatar, Nasser-eddine 2 Da Prato, Giuseppe 2 Grabmüller, Hans 2 Grimmer, R. C. 2 Hrusa, William J. 2 Iannelli, Mimmo 2 Oka, Hirokazu 2 Pritchard, Anthony J. 2 Prüß, Jan Wilhelm 2 Rebarber, Richard 2 Townley, Stuart B. 2 Wu, Jianhong 2 Zeman, Marvin 1 Aizicovici, Sergiu 1 Barnes, Bruce A. 1 Baumeister, Johann 1 Bellout, Hamid 1 Brewer, Dennis W. 1 Burns, John A. 1 Chen, Goong 1 Corduneanu, Constantin 1 De Acutis, Mimma 1 deLaubenfels, Ralph J. 1 Diao, Boubacar 1 Diekmann, Odo 1 Dolapçı, İhsan Timuçin 1 Dorato, Peter 1 Drozdov, Aleksey D. 1 Ezzinbi, Khalil 1 Fu, Xianlong 1 Gentili, Gian Guido 1 Gibson, John A. 1 Gill, Tepper L. 1 Gripenberg, Gustav 1 Guo, Jing 1 Gyori, Istvan 1 Hattori, Hitomi 1 Heard, Melvin L. 1 Hirano, Norimichi 1 Kabirova, G. R. 1 Kalamkarov, Alexander L. 1 Kalashnikov, Anatoliĭ Sergeevich 1 Keck, David N. 1 Kerbal, Sebti 1 Kim, Jong Uhn 1 Krol, Katja 1 Lakshmikantham, Vangipuram 1 Levin, Jacob J. 1 Lightbourne, James H. III 1 Liu, Zhuangyi 1 Lokshin, Alexander A. 1 Lubich, Christian 1 Madych, Wally R. 1 McKibben, Mark Anthony 1 Medjden, Mohamed 1 Medvedev, Dmitriy A. 1 Miller, Robert E. 1 Mokkedem, Fatima Zahra 1 Muscato, Giovanni 1 Nečas, Jindřich 1 Nohel, John A. 1 Pakdemirli, Mehmet 1 Perez Ortiz, R. 1 Powers, Robert K. 1 Qiao, Leijie 1 Qiu, Wenlin 1 Renardy, Michael 1 Reynolds, David W. 1 Riedle, Markus 1 Rossi, John F. 1 Şenol, Mehmet 1 Shamaev, Alexei S. 1 Stech, Harlan W. 1 Sy, Mamadou 1 Tempo, Robert 1 Terjéki, József 1 Tsalyuk, Z. B. 1 van Gils, Stephan A. 1 Williamson, Jack 1 Zachary, Woodford William 1 Zhang, Xicheng
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#### Cited in 51 Serials

 15 Journal of Differential Equations 12 Journal of Mathematical Analysis and Applications 8 Journal of Integral Equations and Applications 6 Transactions of the American Mathematical Society 6 Journal of Mathematical Sciences (New York) 5 Applied Mathematics and Computation 4 Proceedings of the American Mathematical Society 4 Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications 3 Computers & Mathematics with Applications 3 Prikladnaya Matematika i Mekhanika 2 Rocky Mountain Journal of Mathematics 2 Integral Equations and Operator Theory 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Rendiconti del Seminario Matematico della Università di Padova 2 Numerical Methods for Partial Differential Equations 2 MCSS. Mathematics of Control, Signals, and Systems 1 Applicable Analysis 1 International Journal of Systems Science 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Automatica 1 Functional Analysis and its Applications 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Semigroup Forum 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the Moscow Mathematical Society 1 Systems & Control Letters 1 Acta Mathematica Hungarica 1 Mathematical and Computer Modelling 1 Dynamics and Stability of Systems 1 Journal of Applied Mathematics and Stochastic Analysis 1 Numerical Algorithms 1 Journal of Elasticity 1 Linear Algebra and its Applications 1 Turkish Journal of Mathematics 1 Advances in Computational Mathematics 1 European Journal of Control 1 Journal of Vibration and Control 1 Differential Equations and Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Science China. Mathematics 1 Journal of Applied Analysis and Computation
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#### Cited in 22 Fields

 79 Integral equations (45-XX) 26 Mechanics of deformable solids (74-XX) 21 Ordinary differential equations (34-XX) 17 Partial differential equations (35-XX) 16 Systems theory; control (93-XX) 14 Operator theory (47-XX) 14 Numerical analysis (65-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functional analysis (46-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)