Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source
نویسندگان
چکیده
In this work, we study a plate equation with time delay in the velocity, frictional damping, and logarithmic source term. Firstly, obtain local global existence of solutions by Sobolev inequality Faedo-Galerkin method. Moreover, prove stability nonexistence results perturbed energy potential well methods.
منابع مشابه
Qualitative Properties and Existence of Solutions for a Generalized Fisher-like Equation
This paper is devoted to the study of an eigenvalue second order differential equation, supplied with homogenous Dirichlet conditions and set on the real line. In the linear case, the equation arises in the study of a reaction-diffusion system involved in disease propagation throughout a given population. Under some relations upon the real parameters and coefficients, we present some existence ...
متن کاملExistence and nonexistence of positive solutions of semilinear elliptic equation with inhomogeneous strong Allee effect
In this paper, we study a semilinear elliptic equation defined on a bounded smooth domain. This type of problem arises from the study of spatial ecology model, and the growth function in the equation has a strong Allee effect and is inhomogeneous. We use variational methods to prove that the equation has at least two positive solutions for a large parameter if it satisfies some appropriate cond...
متن کاملExistence of positive solutions for a boundary value problem of a nonlinear fractional differential equation
This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.
متن کاملExistence and Nonexistence of Global Solutions of a Fully Nonlinear Parabolic Equation
In the paper, we study the global existence of weak solution of the fully nonlinear parabolic problem (1.1)-(1.3) with nonlinear boundary conditions for the situation without strong absorption terms. Also, we consider the blow up of global solution of the problem (1.1)-(1.3) by using the convexity method.
متن کاملExistence and Nonexistence of Positive Radial Solutions for Quasilinear Systems
The paper deals with the existence and nonexistence of positive radial solutions for the weakly coupled quasilinear system div (
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2021
ISSN: ['1687-9139', '1687-9120']
DOI: https://doi.org/10.1155/2021/8561626