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Applicable Analysis
An International Journal
Volume 53, 1994 - Issue 1-2
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Original Articles

On fractional powers of a closed pair of operators and a damped wave equation with dynamic boundary conditions

Marié Grobbelaar-van Dalsen Department of Mathematics, Applied Mathematics and Astronomy,, Univ. of South Africa, South Africa
Pages 41-54 | Received 15 Jul 1992, Published online: 02 May 2007

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Maryse M. Moutamal & Claire Joseph. (2023) Optimal control of fractional Sturm–Liouville wave equations on a star graph. Optimization 72:12, pages 3101-3136.
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Articles from other publishers (19)

Jianghao Hao & Fangqing Du. (2024) Exponential Decay for a Time-Varying Coefficients Wave Equation with Dynamic Boundary Conditions. The Journal of Geometric Analysis 34:5.
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Meriem Saker, Nouri Boumaza & Billel Gheraibia. (2023) Global existence, energy decay, and blowup of solutions for a wave equation type p-Laplacian with memory term and dynamic boundary conditions. Boletín de la Sociedad Matemática Mexicana 29:2.
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Fangqing Du & Jianghao Hao. (2023) Energy Decay for Wave Equation of Variable Coefficients with Dynamic Boundary Conditions and Time-Varying Delay. The Journal of Geometric Analysis 33:4.
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Houria Kamache, Nouri Boumaza & Billel Gheraibia. (2022) General decay and blow up of solutions for the Kirchhoff plate equation with dynamic boundary conditions, delay and source terms. Zeitschrift für angewandte Mathematik und Physik 73:2.
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Jianghao Hao & Fangqing Du. (2020) Decay rate for viscoelastic wave equation of variable coefficients with delay and dynamic boundary conditions. Mathematical Methods in the Applied Sciences 44:1, pages 284-302.
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Mi Jin Lee & Jong Yeoul Park. (2018) Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions. Boundary Value Problems 2018:1.
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Akram Ben Aissa & Mohamed Ferhat. (2018) Stability result for viscoelastic wave equation with dynamic boundary conditions. Zeitschrift für angewandte Mathematik und Physik 69:4.
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Mahdi Fatima Zohra, Ferhat Mohamed & Hakem Ali. (2018) Energy decay of solutions for viscoelastic wave equations with a dynamic boundary and delay term. Malaya Journal of Matematik 06:03, pages 521-529.
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Khadijeh Baghaei. (2017) Lower bounds for the blow-up time in a superlinear hyperbolic equation with linear damping term. Computers & Mathematics with Applications 73:4, pages 560-564.
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Mohamed Ferhat & Ali Hakem. (2015) Asymptotic behavior for a weak viscoelastic wave equations with a dynamic boundary and time varying delay term. Journal of Applied Mathematics and Computing 51:1-2, pages 509-526.
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Mohamed Ferhat & Ali Hakem. (2016) Global existence and energy decay result for a weak viscoelastic wave equations with a dynamic boundary and nonlinear delay term. Computers & Mathematics with Applications 71:3, pages 779-804.
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Lili Sun, Bin Guo & Wenjie Gao. (2014) A lower bound for the blow-up time to a damped semilinear wave equation. Applied Mathematics Letters 37, pages 22-25.
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Stéphane Gerbi & Belkacem Said-Houari. (2012) Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term. Applied Mathematics and Computation 218:24, pages 11900-11910.
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Philip Jameson Graber & Belkacem Said-Houari. (2012) Existence and Asymptotic Behavior of the Wave Equation with Dynamic Boundary Conditions. Applied Mathematics & Optimization 66:1, pages 81-122.
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妞 靳. (2012) Blow-Up and Asymptotic Behavior of Global Solution of Damped Wave Equation with Dynamic Boundary Conditions. Pure Mathematics 02:03, pages 144-151.
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S. Gerbi & B. Said-Houari. (2011) Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions. Nonlinear Analysis: Theory, Methods & Applications 74:18, pages 7137-7150.
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Delio Mugnolo. (2011) Damped wave equations with dynamic boundary conditions. Journal of Applied Analysis 17:2.
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M. Pellicer & J. Solà-Morales. (2004) Analysis of a viscoelastic spring–mass model. Journal of Mathematical Analysis and Applications 294:2, pages 687-698.
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Marié Grobbelaar-Van Dalsen. (1996) On the Initial-boundary-value Problem for the Extensible Beam with Attached Load. Mathematical Methods in the Applied Sciences 19:12, pages 943-957.
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