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## Grimmer, Ronald

Compute Distance To:
 Author ID: grimmer.ronald Published as: Grimmer, R.; Grimmer, Ronald
 Documents Indexed: 42 Publications since 1971
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#### Co-Authors

 0 single-authored 6 Desch, Wolfgang 4 Chen, Goong 4 Sinestrari, Eugenio 4 Zeman, Marvin 3 He, Min 3 Liu, James Hetao 3 Schappacher, Wilhelm 2 Desch, G. W. 2 Liu, Hetao 1 Lenczewski, Romuald 1 Seifert, George 1 Soeharyadi, Yudi 1 Su, Meng
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#### Serials

 5 Journal of Differential Equations 3 Semigroup Forum 2 Journal of Mathematical Analysis and Applications 2 Rocky Mountain Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Differential and Integral Equations 1 Israel Journal of Mathematics 1 Journal of Integral Equations 1 SIAM Journal on Mathematical Analysis 1 Advances in Differential Equations 1 Cubo
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#### Fields

 21 Integral equations (45-XX) 12 Operator theory (47-XX) 11 Mechanics of deformable solids (74-XX) 8 Partial differential equations (35-XX) 6 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH

31 Publications have been cited 331 times in 238 Documents Cited by Year
Some considerations for linear integrodifferential equations. Zbl 0595.45027
Desch, Wolfgang; Grimmer, Ronald; Schappacher, Wilhelm
1984
Stability properties of Volterra integrodifferential equations. Zbl 0321.45017
Grimmer, Ronald; Seifert, George
1975
Semigroups and integral equations. Zbl 0449.45007
Chen, Goong; Grimmer, Ronald
1980
On linear Volterra equations in Banach spaces. Zbl 0569.45020
Grimmer, R.; Prüss, J.
1985
Wellposedness and wave propagation for a class of integrodifferential equations in Banach space. Zbl 0663.45008
Desch, Wolfgang; Grimmer, Ronald; Schappacher, Wilhelm
1988
Smoothing properties of linear Volterra integrodifferential equations. Zbl 0681.45008
Desch, W.; Grimmer, R.
1989
Integrated semigroups amd integrodifferential equations. Zbl 0788.45011
Grimmer, Ronald; Liu, James H.
1994
Integral equations as evolution equations. Zbl 0449.45008
Chen, Goong; Grimmer, Ronald
1982
Singular relaxation moduli and smoothing in three-dimensional viscoelasticity. Zbl 0672.73039
Desch, Wolfgang; Grimmer, Ronald
1989
Oscillation criteria and growth of nonoscillatory solutions of even order ordinary and delay-differential equations. Zbl 0292.34026
Grimmer, R.
1974
Propagation of singularities for integrodifferential equations. Zbl 0611.45008
Desch, G. W.; Grimmer, R.
1986
On nonoscillatory solutions of a nonlinear differential equation. Zbl 0257.34035
Grimmer, R.
1972
Wave propagation for linear integrodifferential equations in Banach space. Zbl 0544.45010
Grimmer, Ronald; Zeman, Marvin
1984
Singular perturbations in viscoelasticity. Zbl 0805.73029
Grimmer, Ronald; Liu, James H.
1994
Maximum norm in one-dimensional hyperbolic problems. Zbl 0782.47037
Grimmer, Ronald; Sinestrari, Eugenio
1992
On the asymptotic behaviour of solutions of $$x''+\alpha (t)f(x)=0$$. Zbl 0235.34075
Burton, T.; Grimmer, R.
1971
Liapunov-Razumikhin methods for integrodifferential equations in Hilbert space. Zbl 0818.45003
Grimmer, Ronald; Liu, Hetao
1992
Propagation of singularities by solutions of second order integrodifferential equations. Zbl 0675.45021
Desch, W.; Grimmer, R.; Schappacher, W.
1989
On the well-posedness of constitutive laws involving dissipation potentials. Zbl 1013.74004
Desch, Wolfgang; Grimmer, Ronald
2001
Existence of periodic solutions of functional differential equations. Zbl 0447.34070
Grimmer, R.
1979
Differentiability with respect to parameters of semigroups. Zbl 0960.47022
Grimmer, Ronald; He, Min
1999
Invariance and wave propagation for nonlinear integro-differential equations in Banach spaces. Zbl 0558.45012
Desch, W.; Grimmer, R.
1985
Nonlinear Volterra integrodifferential equations in a Banach space. Zbl 0498.45004
Grimmer, Ronald; Zeman, Marvin
1982
Wave propagation for abstract integrodifferential equations. Zbl 0544.45011
Desch, G. W.; Grimmer, R.; Zeman, M.
1984
Fixed point theory and nonlinear periodic systems. Zbl 1194.47072
Grimmer, Ronald; He, Min
2009
Limiting equations of integrodifferential equations in Banach space. Zbl 0813.45005
Grimmer, Ronald; Liu, James H.
1994
Integrodifferential equations with nondensely defined operators. Zbl 0745.45005
Grimmer, Ronald; Liu, Hetao
1991
Well-posedness of hyperbolic equations with delay in the boundary conditions. Zbl 0693.35118
Grimmer, Ronald; Lenczewski, R.; Schappacher, Wilhelm
1989
Stability of a scalar differential equation. Zbl 0255.34043
Grimmer, R.
1972
Energy estimates for symmetric hyperbolic integro-differential equations. Zbl 0558.45011
Grimmer, Ronald; Zeman, Marvin
1984
Comparison theorems for third- and fourth-order linear equations. Zbl 0392.34016
Grimmer, R.
1977
Fixed point theory and nonlinear periodic systems. Zbl 1194.47072
Grimmer, Ronald; He, Min
2009
On the well-posedness of constitutive laws involving dissipation potentials. Zbl 1013.74004
Desch, Wolfgang; Grimmer, Ronald
2001
Differentiability with respect to parameters of semigroups. Zbl 0960.47022
Grimmer, Ronald; He, Min
1999
Integrated semigroups amd integrodifferential equations. Zbl 0788.45011
Grimmer, Ronald; Liu, James H.
1994
Singular perturbations in viscoelasticity. Zbl 0805.73029
Grimmer, Ronald; Liu, James H.
1994
Limiting equations of integrodifferential equations in Banach space. Zbl 0813.45005
Grimmer, Ronald; Liu, James H.
1994
Maximum norm in one-dimensional hyperbolic problems. Zbl 0782.47037
Grimmer, Ronald; Sinestrari, Eugenio
1992
Liapunov-Razumikhin methods for integrodifferential equations in Hilbert space. Zbl 0818.45003
Grimmer, Ronald; Liu, Hetao
1992
Integrodifferential equations with nondensely defined operators. Zbl 0745.45005
Grimmer, Ronald; Liu, Hetao
1991
Smoothing properties of linear Volterra integrodifferential equations. Zbl 0681.45008
Desch, W.; Grimmer, R.
1989
Singular relaxation moduli and smoothing in three-dimensional viscoelasticity. Zbl 0672.73039
Desch, Wolfgang; Grimmer, Ronald
1989
Propagation of singularities by solutions of second order integrodifferential equations. Zbl 0675.45021
Desch, W.; Grimmer, R.; Schappacher, W.
1989
Well-posedness of hyperbolic equations with delay in the boundary conditions. Zbl 0693.35118
Grimmer, Ronald; Lenczewski, R.; Schappacher, Wilhelm
1989
Wellposedness and wave propagation for a class of integrodifferential equations in Banach space. Zbl 0663.45008
Desch, Wolfgang; Grimmer, Ronald; Schappacher, Wilhelm
1988
Propagation of singularities for integrodifferential equations. Zbl 0611.45008
Desch, G. W.; Grimmer, R.
1986
On linear Volterra equations in Banach spaces. Zbl 0569.45020
Grimmer, R.; Prüss, J.
1985
Invariance and wave propagation for nonlinear integro-differential equations in Banach spaces. Zbl 0558.45012
Desch, W.; Grimmer, R.
1985
Some considerations for linear integrodifferential equations. Zbl 0595.45027
Desch, Wolfgang; Grimmer, Ronald; Schappacher, Wilhelm
1984
Wave propagation for linear integrodifferential equations in Banach space. Zbl 0544.45010
Grimmer, Ronald; Zeman, Marvin
1984
Wave propagation for abstract integrodifferential equations. Zbl 0544.45011
Desch, G. W.; Grimmer, R.; Zeman, M.
1984
Energy estimates for symmetric hyperbolic integro-differential equations. Zbl 0558.45011
Grimmer, Ronald; Zeman, Marvin
1984
Integral equations as evolution equations. Zbl 0449.45008
Chen, Goong; Grimmer, Ronald
1982
Nonlinear Volterra integrodifferential equations in a Banach space. Zbl 0498.45004
Grimmer, Ronald; Zeman, Marvin
1982
Semigroups and integral equations. Zbl 0449.45007
Chen, Goong; Grimmer, Ronald
1980
Existence of periodic solutions of functional differential equations. Zbl 0447.34070
Grimmer, R.
1979
Comparison theorems for third- and fourth-order linear equations. Zbl 0392.34016
Grimmer, R.
1977
Stability properties of Volterra integrodifferential equations. Zbl 0321.45017
Grimmer, Ronald; Seifert, George
1975
Oscillation criteria and growth of nonoscillatory solutions of even order ordinary and delay-differential equations. Zbl 0292.34026
Grimmer, R.
1974
On nonoscillatory solutions of a nonlinear differential equation. Zbl 0257.34035
Grimmer, R.
1972
Stability of a scalar differential equation. Zbl 0255.34043
Grimmer, R.
1972
On the asymptotic behaviour of solutions of $$x''+\alpha (t)f(x)=0$$. Zbl 0235.34075
Burton, T.; Grimmer, R.
1971
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#### Cited by 247 Authors

 22 Ezzinbi, Khalil 13 Grimmer, Ronald 11 Liu, James Hetao 10 Burton, Theodore Allen 8 Desch, Wolfgang 7 Ghnimi, Saifeddine 6 Diop, Mamadou Abdoul 6 Dos Santos, José Paulo Carvalho 6 Grimmer, R. C. 6 Hanyga, Andrzej 6 Lizama, Carlos 6 Oka, Hirokazu 5 Liang, Jin 5 Luo, Zhiguo 5 Taoudi, Mohamed Aziz 5 Xiao, Ti-Jun 4 Diao, Boubacar 4 Graef, John R. 4 Shen, Jianhua 4 Spikes, Paul W. 4 Sy, Mamadou 3 Cuevas, Claudio 3 de Andrade, Bruno 3 deLaubenfels, Ralph J. 3 Diagana, Toka 3 Dieye, Moustapha 3 Fu, Xianlong 3 He, Min 3 Hernández Morales, Eduardo 3 Onose, Hiroshi 3 Schappacher, Wilhelm 3 Tanaka, Naoki 3 Tunç, Cemil 3 Zakora, Dmitriĭ Aleksandrovich 2 Bonaccorsi, Stefano 2 Chang, Jung-Chan 2 Chen, Lu-San 2 Ding, Huisheng 2 Dyson, Janet 2 Engler, Hans 2 Foster, K. E. 2 Foster, Kent 2 Hannsgen, Kenneth B. 2 Heard, Melvin L. 2 Henríquez, Hernán R. 2 Kusano, Takaŝi 2 Lo, Modou 2 Mahfoud, Wadi Elias 2 Migórski, Stanisław 2 Mohammed, Sizar Abid 2 Nagel, Rainer J. 2 Pączka, Dariusz 2 Pritchard, Anthony J. 2 Prüß, Jan Wilhelm 2 Purnaras, Ioannis K. 2 Ravi Kumar, R. V. G. 2 Rhandi, Abdelaziz 2 Singler, John R. 2 Staffans, Olof Johan 2 Tatar, Nasser-eddine 2 Touré, Hamidou 2 Viana, Arlúcio 2 Villella-Bressan, Rosanna 2 Wheeler, Robert Lee 2 Yan, Zuomao 2 Yao, Fuyuan 2 Zabsonre, Issa 2 Zeman, Marvin 1 Abdou, Mohamed Aly Mohamed 1 Adimy, Mostafa 1 Andreev, Aleksandr S. 1 Anthoni, Selvaraj Marshal 1 Antman, Stuart S. 1 Arino, Ovide 1 Athanassov, Zhivko S. 1 Bahloul, Rachid 1 Ballieu, Robert J. 1 Bareket, Miriam 1 Bárta, Tomáš 1 Bimesl, Saeed 1 Borisovich, Yuriĭ Grigor’evich 1 Bothe, Dieter 1 Bounit, Hamid 1 Bouzahir, Hassane 1 Caicedo, Alejandro 1 Calzadillas, Sebastián 1 Can, Nguyen Huu 1 Caraballo Garrido, Tomás 1 Carillo, Sandra 1 Cavaterra, Cecilia 1 Charissiadis, Panos 1 Chen, Goong 1 Chmara, M. 1 Choi, Q-Heung 1 Clément, Philippe J. E. 1 Confortola, Fulvia 1 Corduneanu, Constantin C. 1 Da Prato, Giuseppe 1 De Acutis, Mimma 1 Denk, Robert ...and 147 more Authors
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#### Cited in 92 Serials

 36 Journal of Mathematical Analysis and Applications 20 Journal of Differential Equations 12 Journal of Integral Equations and Applications 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Transactions of the American Mathematical Society 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Applied Mathematics and Computation 7 Proceedings of the American Mathematical Society 6 Semigroup Forum 6 Nonlinear Analysis. Theory, Methods & Applications 4 Applicable Analysis 3 Bulletin of the Australian Mathematical Society 3 Mathematical Methods in the Applied Sciences 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Applicandae Mathematicae 3 Mathematical and Computer Modelling 3 Abstract and Applied Analysis 3 Nonlinear Analysis. Real World Applications 3 Journal of Fixed Point Theory and Applications 3 Afrika Matematika 2 International Journal of Control 2 Journal of Computational and Applied Mathematics 2 Mathematische Zeitschrift 2 Numerical Functional Analysis and Optimization 2 Rendiconti del Seminario Matematico della Università di Padova 2 Tohoku Mathematical Journal. Second Series 2 Stochastic Analysis and Applications 2 Journal of Elasticity 2 Journal of Mathematical Sciences (New York) 2 Differential Equations and Dynamical Systems 2 Journal of Inequalities and Applications 2 Journal of Evolution Equations 2 Journal of Applied Mathematics and Computing 2 Nonlinear Analysis. Hybrid Systems 2 S$$\vec{\text{e}}$$MA Journal 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Demonstratio Mathematica 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Le Matematiche 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Meccanica 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Statistics & Probability Letters 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Applications of Mathematics 1 Aequationes Mathematicae 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 Glasnik Matematički. Serija III 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Acta Mathematica Sinica. New Series 1 International Journal of Robust and Nonlinear Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Continuum Mechanics and Thermodynamics 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Computational Methods in Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Proyecciones 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Eurasian Mathematical Journal 1 ISRN Mathematical Analysis 1 Journal of Applied Analysis and Computation 1 Fractional Differential Calculus 1 Evolution Equations and Control Theory 1 Transactions of A. Razmadze Mathematical Institute
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#### Cited in 24 Fields

 113 Integral equations (45-XX) 93 Ordinary differential equations (34-XX) 59 Operator theory (47-XX) 45 Partial differential equations (35-XX) 30 Mechanics of deformable solids (74-XX) 16 Systems theory; control (93-XX) 9 Probability theory and stochastic processes (60-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Numerical analysis (65-XX) 6 Fluid mechanics (76-XX) 4 Integral transforms, operational calculus (44-XX) 4 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)