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1. Approximate Analytical Solution of the Generalized Kolmogorov-Petrovsky-Piskunov Equation with Cubic Nonlinearity

   In this paper, the approximate analytical oscillatory solutions to the generalized Kolmogorov-Petrovsky-Piskunov equation (gKPPE for short) are...

   Wei-guo Zhang, **e-kui Hu, ... Wen-xia Li in Acta Mathematicae Applicatae Sinica, English Series

   Article 19 April 2023

2. Well-posedness and stability for a viscoelastic Petrovsky equation with a localized nonlinear dam**

   In this paper, we consider a viscoelastic Petrovsky equation with localised nonlinear dam** in bounded domain. The nonlinear dam** is effective...

   Zineb Sabbagh, Ammar Khemmoudj, Mama Abdelli in SeMA Journal

   Article 17 April 2023

3. Behavior of solutions to a Petrovsky equation with dam** and variable-exponent sources

   Menglan Liao, Zhong Tan in Science China Mathematics

   Article 24 March 2022

4. Existence and blow up of solutions for a Petrovsky equation with variable-exponents

   Taklit Hamadouche in SeMA Journal

   Article 03 August 2022

5. Blow up of Solutions for a Nonlinear Petrovsky Type Equation with Time-dependent Coefficients

   **ao-xiao Zheng, Ya-dong Shang, **ao-ming Peng in Acta Mathematicae Applicatae Sinica, English Series

   Article 01 October 2020

6. Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy

   In this paper, we study the initial boundary value problem for a Petrovsky type equation with a memory term, a linear weak dam** and superlinear...

   Lishan Liu, Fenglong Sun, Yonghong Wu in SN Partial Differential Equations and Applications

   Article 02 September 2020

7. On a Difference Scheme for the Growth-Propagation Equation

   Abstract

   The article presents a model written in the form of a diffusion-logistic equation, which is most often used in tasks of describing the...

   O. P. Barabash, M. V. Polovinkina, ... M. L. Zhadanova in Lobachevskii Journal of Mathematics

   Article 01 March 2023

8. Globally Stable Difference Schemes for the Fisher Equation

   Abstract

   Unconditionally monotone and globally stable difference schemes for the Fisher equation are constructed and investigated. It is shown that...

   P. P. Matus, D. Pylak in Differential Equations

   Article 01 July 2023

9. Asymptotic behavior of solutions for a nonlinear viscoelastic higher-order p(x)-Laplacian equation with variable-exponent logarithmic source term

   This study aims for the global existence and asymptotic stability of solutions for a class of nonlinear viscoelastic higher-order p ( x )-Laplacian...

   Mohammad Shahrouzi in Boletín de la Sociedad Matemática Mexicana

   Article 06 October 2023

10. Optimized Uniform Decay Estimate of the Solution to Petrovsky Equation with Memory

    Fushan Li, Wenmin Zhu in Applied Mathematics & Optimization

    Article 29 January 2020

11. KPP-Type Problems with Discontinuities

    Guy Barles, Emmanuel Chasseigne in On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities

    Chapter 2024
    

12. On decay and blow-up of solutions for a nonlinear Petrovsky system with conical degeneration

    Jiali Yu, Yadong Shang, Huafei Di in Boundary Value Problems

    Article Open access 20 August 2020

13. Stabilization and Blow-up in an Infinite Memory Wave Equation with Logarithmic Nonlinearity and Acoustic Boundary Conditions

    In this paper, the authors consider the stabilization and blow up of the wave equation with infinite memory, logarithmic nonlinearity and acoustic...

    Qingqing Peng, Zhifei Zhang in Journal of Systems Science and Complexity

    Article 11 June 2024

14. Polynomial-exponential stability and blow-up solutions to a nonlinear damped viscoelastic Petrovsky equation

    A. Peyravi, F. Tahamtani in SeMA Journal

    Article 05 December 2019

15. Optimal Cyclic Dynamic of Distributed Population Under Permanent and Impulse Harvesting

    We consider a renewable resource distributed in a periodic environment, the dynamics of which is described by the...

    Alexey Davydov, Evgeny Vinnikov in Dynamic Control and Optimization

    Conference paper 2022
    

16. Decay estimate in a viscoelastic plate equation with past history, nonlinear dam**, and logarithmic nonlinearity

    In this article, we consider a viscoelastic plate equation with past history, nonlinear dam**, and logarithmic nonlinearity. We prove explicit and...

    Bhargav Kumar Kakumani, Suman Prabha Yadav in Boundary Value Problems

    Article Open access 28 November 2022

17. Composition Method for Semi-linear Parabolic Systems

    An iteration method for constructing a solution to the Cauchy problem for parabolic systems with non-linear potential (reaction–diffusion) is...

    Viktor Bondarenko, Ihor Markevych in International Journal of Applied and Computational Mathematics

    Article 11 March 2024
    

18. Viscoelastic plate equation with variable exponents: existence and blow-up

    A nonlinear viscoelastic plate equation with variable exponents have been discussed in the present paper. Under various suitable condition on...

    Nebi Yılmaz, Erhan Pişkin, Salah Boulaaras in The Journal of Analysis

    Article 14 April 2024

19. Existence of a Maximum of Time-Averaged Harvesting in the KPP Model on Sphere with Permanent and Impulse Harvesting

    Abstract

    A distributed renewable resource of any nature is considered on a two-dimensional sphere. Its dynamics is described by a model of the...

    E. V. Vinnikov, A. A. Davydov, D. V. Tunitsky in Doklady Mathematics

    Article 01 December 2023

20. Optimal States of Distributed Exploited Populations with Periodic Impulse Harvesting

    The dynamics of a population distributed on a torus is described by an equation of the Kolmogorov–Petrovsky–Piskunov–Fisher type in the divergence...

    A. A. Davydov, D. A. Melnik in Proceedings of the Steklov Institute of Mathematics

    Article 01 December 2021