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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 3
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Articles

Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay

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Pages 530-547 | Received 22 Feb 2018, Accepted 20 Jul 2018, Published online: 17 Aug 2018

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Read on this site (4)

Changping Xie & Shaomei Fang. (2024) Global solutions and blow-up for Klein–Gordon equation with damping and logarithmic terms. Applicable Analysis 103:8, pages 1513-1539.
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Hazal Yüksekkaya, Erhan Piskin, Mohammad M. Kafini & Adel M. Al-Mahdi. (2024) Well-posedness and exponential stability for the logarithmic Lamé system with a time delay. Applicable Analysis 103:2, pages 506-518.
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Lila Ihaddadene & Ammar Khemmoudj. (2022) General decay for a wave equation with Wentzell boundary conditions and nonlinear delay terms. International Journal of Control 95:9, pages 2565-2580.
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Houria Chellaoua & Yamna Boukhatem. (2022) Blow-up result for an abstract evolution problem with infinite memory and time-varying delay. Applicable Analysis 101:13, pages 4574-4597.
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Articles from other publishers (27)

Salah Boulaaras, Rashid Jan, Abdelbaki Choucha, Aderrahmane Zaraï & Mourad Benzahi. (2024) Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity. Boundary Value Problems 2024:1.
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Mohammad M. Al-Gharabli. (2024) Stability Results for a System of Nonlinear Viscoelastic Plate Equations with Nonlinear Frictional Damping and Logarithmic Source Terms. Journal of Dynamical and Control Systems 30:1.
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Mourad Benzahi, Abderrahmane Zaraï, Salah Boulaaras, Rashid Jan & Mujahid Iqbal. (2024) Blow up and lifespan of solutions for elastic membrane equation with delay. Results in Applied Mathematics 21, pages 100426.
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Aziz Belmiloudi. (2023) On Behavior of Solutions for Nonlinear Klein–Gordon Wave Type Models with a Logarithmic Nonlinearity and Multiple Time-Varying Delays. Axioms 13:1, pages 29.
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Qingqing Peng & Zhifei Zhang. (2023) Stabilization and blow-up for a class of weakly damped Kirchhoff plate equation with logarithmic nonlinearity. Indian Journal of Pure and Applied Mathematics.
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Toufik Bentrcia & Abdelaziz Mennouni. (2023) On the solution behavior of a nonlinear time-fractional Klein–Gordon equation: Theoretical study and numerical validation. Communications in Nonlinear Science and Numerical Simulation 125, pages 107384.
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Abdelbaki Choucha & Djamel Ouchenane. (2023) Exponential growth of solutions with L_p-norm of a nonlinear viscoelastic wave equation with strong damping and source and delay terms. Studia Universitatis Babes-Bolyai Matematica 68:2, pages 375-385.
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Hazal Yüksekkaya & Erhan Pişkin. (2022) Local existence, global existence and decay results of a logarithmic wave equation with delay term. Mathematical Methods in the Applied Sciences 46:11, pages 11802-11813.
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Sun‐Hye Park. (2023) Blow‐up for a Von Karman equation with nonlinear dissipation, logarithmic source, and acoustic boundary conditions. Mathematical Methods in the Applied Sciences 46:8, pages 8632-8645.
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Duy Binh Ho, Duc Phuong Nguyen & Viet Tri Vo. (2023) Well-posedness results for a class of nonlinear reaction-diffusion equations with memory. Electronic Journal of Applied Mathematics 1:1, pages 1-29.
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Sun-Hye Park. (2023) Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions. Advances in Nonlinear Analysis 12:1.
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Abdelbaki Choucha & Djamel Ouchenane. (2023) Local existence and blow up of solutions to a logarithmic nonlinear wave equation with time-varying delay. Studia Universitatis Babes-Bolyai Matematica 68:1, pages 171-187.
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Erhan Pişkin & Erkan Sancar. (2023) Existence and decay for the logarithmic Lamé system with internal distributed delay. Advanced Studies: Euro-Tbilisi Mathematical Journal 16:1.
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Yi Yang & Zhong Bo Fang. (2022) On a Semilinear Wave Equation with Kirchhoff-Type Nonlocal Damping Terms and Logarithmic Nonlinearity. Mediterranean Journal of Mathematics 20:1.
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Menglan Liao & Zhong Tan. (2023) ASYMPTOTIC STABILITY FOR A VISCOELASTIC EQUATION WITH THE TIME-VARYING DELAY. Mathematical Modelling and Analysis 28:1, pages 23-41.
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Dingwen Deng & Jingliang Chen. (2023) Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays. Networks and Heterogeneous Media 18:1, pages 412-443.
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Mohammad Kafini & Maher Noor. (2023) Delayed wave equation with logarithmic variable-exponent nonlinearity. Electronic Research Archive 31:5, pages 2974-2993.
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Nazlı Irkıl. (2023) On the p-Laplacian type equation with logarithmic nonlinearity: existence, decay and blow up. Filomat 37:16, pages 5485-5507.
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Sun-Hye Park. (2022) Global nonexistence for logarithmic wave equations with nonlinear damping and distributed delay terms. Nonlinear Analysis: Real World Applications 68, pages 103691.
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Mohammad M. Al-Gharabli, Adel M. Almahdi, Maher Noor & Johnson D. Audu. (2022) Numerical and Theoretical Stability Study of a Viscoelastic Plate Equation with Nonlinear Frictional Damping Term and a Logarithmic Source Term. Mathematical and Computational Applications 27:1, pages 10.
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Sun-Hye Park. (2021) Blowup for nonlinearly damped viscoelastic equations with logarithmic source and delay terms. Advances in Difference Equations 2021:1.
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Radhouane Aounallah, Abbes Benaissa & Abderrahmane Zaraï. (2020) Blow-up and asymptotic behavior for a wave equation with a time delay condition of fractional type. Rendiconti del Circolo Matematico di Palermo Series 2 70:2, pages 1061-1081.
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Hazal Yüksekkaya, Erhan Pișkin, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif & Sulima Ahmed Zubair. (2021) Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source. Advances in Mathematical Physics 2021, pages 1-11.
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Ahlem Merah, Fatiha Mesloub, Salah Mahmoud Boulaaras & Bahri-Belkacem Cherif. (2021) A New Result for a Blow-up of Solutions to a Logarithmic Flexible Structure with Second Sound. Advances in Mathematical Physics 2021, pages 1-7.
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Yi Cheng & Ying Chu. (2021) A class of fourth-order hyperbolic equations with strongly damped and nonlinear logarithmic terms. Electronic Research Archive 29:6, pages 3867-3887.
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Gongwei Liu. (2020) The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term. Electronic Research Archive 28:1, pages 263-289.
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Mohammad M. Al-Gharabli. (2019) New general decay results for a viscoelastic plate equation with a logarithmic nonlinearity. Boundary Value Problems 2019:1.
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