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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 4
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Articles

Global existence and finite time blow-up of solutions for the semilinear pseudo-parabolic equation with a memory term

Fenglong SunSchool of Mathematical Sciences, Qufu Normal University, Qufu, People’s Republic of China.View further author information
,
Lishan LiuSchool of Mathematical Sciences, Qufu Normal University, Qufu, People’s Republic of China.;Department of Mathematics and Statistics, Curtin University, Perth, Australia.Correspondence[email protected] [email protected]
ORCID Iconhttp://orcid.org/0000-0001-8541-1017View further author information
ORCID Icon &
Yonghong WuDepartment of Mathematics and Statistics, Curtin University, Perth, Australia.ORCID Iconhttp://orcid.org/0000-0003-1028-1785View further author information
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Pages 735-755 | Received 12 Apr 2017, Accepted 31 Oct 2017, Published online: 14 Nov 2017

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Li Ma. (2022) Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems. International Journal of Computer Mathematics 99:5, pages 895-908.
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Articles from other publishers (26)

Qianqian Zhu, Yaojun Ye & Shuting Chang. (2024) Blow-up upper and lower bounds for solutions of a class of higher order nonlinear pseudo-parabolic equations. Electronic Research Archive 32:2, pages 945-961.
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Tran‐Vu Ngo, Bao‐Dung Dao & Mirelson M. Freitas. (2023) Some qualitative properties of weak solution for pseudo‐parabolic equation with viscoelastic term and Robin boundary conditions. Mathematische Nachrichten 297:1, pages 378-413.
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Le Thi Phuong Ngoc, Nguyen Anh Triet, Phan Thi My Duyen & Nguyen Thanh Long. (2023) General Decay and Blow-up Results of a Robin-Dirichlet Problem for a Pseudoparabolic Nonlinear Equation of Kirchhoff-Carrier Type with Viscoelastic Term. Acta Mathematica Vietnamica 48:1, pages 151-191.
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Menglan Liao & Zhong Tan. (2022) Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources. Science China Mathematics 66:2, pages 285-302.
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Ngo Tran Vu, Dao Bao Dung & Huynh Thi Hoang Dung. (2022) General decay and blow-up results for a class of nonlinear pseudo-parabolic equations with viscoelastic term. Journal of Mathematical Analysis and Applications 516:2, pages 126557.
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Ngo Tran Vu, Dao Bao Dung & Huynh Thi Hoang Dung. (2022) General decay for a nonlinear pseudo-parabolic equation with viscoelastic term. Demonstratio Mathematica 55:1, pages 737-751.
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Nguyen Duc PHUONG, Le Dinh LONG, Tuan NGUYEN ANH & Ho BİNH. (2022) Stability of a nonlinear fractional pseudo-parabolic equation system regarding fractional order of the time. Advances in the Theory of Nonlinear Analysis and its Application 6:3, pages 405-419.
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Le Thi Phuong Ngoc, Khong Thi Thao Uyen, Nguyen Huu Nhan & Nguyen Thanh Long. (2022) On a system of nonlinear pseudoparabolic equations with Robin-Dirichlet boundary conditions. Communications on Pure & Applied Analysis 21:2, pages 585.
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Lakshmipriya Narayanan & Gnanavel Soundararajan. Nonexistence of global solutions of a viscoelastic p(x)-Laplacian equation with logarithmic nonlinearity. Nonexistence of global solutions of a viscoelastic p(x)-Laplacian equation with logarithmic nonlinearity.
Tran Bao Ngoc, Vo Viet Tri, Zakia Hammouch & Nguyen Huu Can. (2021) Stability of a class of problems for time-space fractional pseudo-parabolic equation with datum measured at terminal time. Applied Numerical Mathematics 167, pages 308-329.
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Le Thi Phuong Ngoc, Nguyen Huu Nhan & Nguyen Thanh Long. (2021) General decay and blow‐up results for a nonlinear pseudoparabolic equation with Robin–Dirichlet conditions. Mathematical Methods in the Applied Sciences 44:11, pages 8697-8725.
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Ho Duy Binh, Luc Nguyen Hoang, Dumitru Baleanu & Ho Thi Kim Van. (2021) Continuity Result on the Order of a Nonlinear Fractional Pseudo-Parabolic Equation with Caputo Derivative. Fractal and Fractional 5:2, pages 41.
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Nguyen Huu Nhan, Tran Trinh Manh Dung, Le Thi Mai Thanh, Le Thi Phuong Ngoc & Nguyen Thanh Long. (2021) A High-Order Iterative Scheme for a Nonlinear Pseudoparabolic Equation and Numerical Results. Mathematical Problems in Engineering 2021, pages 1-17.
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Kh. Zennir, H. Dridi, S. Alodhaibi & S. Alkhalaf. (2021) Nonexistence of Global Solutions for Coupled System of Pseudoparabolic Equations with Variable Exponents and Weak Memories. Journal of Function Spaces 2021, pages 1-11.
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Nguyen Hoang Luc, Hossein Jafari, Poom Kumam & Nguyen Huy Tuan. (2021) On an initial value problem for time fractional pseudo‐parabolic equation with Caputo derivative. Mathematical Methods in the Applied Sciences.
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Fugeng Zeng, Yao Huang & Peng Shi. (2021) Initial boundary value problem for a class of $ p $-Laplacian equations with logarithmic nonlinearity. Mathematical Biosciences and Engineering 18:4, pages 3957-3976.
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Ahmed Himadan. (2021) Well defined extinction time of solutions for a class of weak-viscoelastic parabolic equation with positive initial energy. AIMS Mathematics 6:5, pages 4331-4344.
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Vo Van Au, Hossein Jafari, Zakia Hammouch & Nguyen Huy Tuan. (2021) On a final value problem for a nonlinear fractional pseudo-parabolic equation. Electronic Research Archive 29:1, pages 1709-1734.
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Nguyen Hoang Luc, Devendra Kumar, Le Thi Diem Hang & Nguyen Huu Can. (2020) On a final value problem for a nonhomogeneous fractional pseudo-parabolic equation. Alexandria Engineering Journal 59:6, pages 4353-4364.
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Lishan Liu, Fenglong Sun & Yonghong Wu. (2020) Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy. SN Partial Differential Equations and Applications 1:5.
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Nguyen Huy Tuan, Vo Van Au, Vo Viet Tri & Donal O’Regan. (2020) On the well-posedness of a nonlinear pseudo-parabolic equation. Journal of Fixed Point Theory and Applications 22:3.
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Nguyen Huu Can, Yong Zhou, Nguyen Huy Tuan & Tran Ngoc Thach. (2020) Regularized solution approximation of a fractional pseudo-parabolic problem with a nonlinear source term and random data. Chaos, Solitons & Fractals 136, pages 109847.
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Khaled Zennir & Tosiya Miyasita. (2020) Lifespan of solutions for a class of pseudo-parabolic equation with weak-memory. Alexandria Engineering Journal 59:2, pages 957-964.
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Huafei Di, Yadong Shang & Jiali Yu. (2020) Blow-up analysis of a nonlinear pseudo-parabolic equation with memory term. AIMS Mathematics 5:4, pages 3408-3422.
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Lishan Liu, Fenglong Sun & Yonghong Wu. (2019) Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level. Boundary Value Problems 2019:1.
Crossref
Salim A. Messaoudi & Ala A. Talahmeh. (2019) Blow up in a semilinear pseudo-parabolic equation with variable exponents. ANNALI DELL'UNIVERSITA' DI FERRARA 65:2, pages 311-326.
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