Semigroup Dynamics and Chaotic Behavior in Second‐Order Partial Differential Equations on H1×L2 Space
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DOI: 10.1002/mma.10675
Abstract: This paper focuses on the dynamics of a second‐order partial differential equation within the space L2$$ {L}^2 $$ described by ∂2ϑ(x,t)∂t2+a∂ϑ(x,t)∂t+bϑ(x,t)=c∂2ϑ(x,t)∂x2+h(x,t),a,b,c>0.$$ \frac{\partial^2\vartheta \left(x,t\right)}{\partial {t}^2}+a\frac{\partial \vartheta \left(x,t\right)}{\partial t}+ b\vartheta \left(x,t\right)=c\frac{\partial^2\vartheta \left(x,t\right)}{\partial {x}^2}+h\left(x,t\right),a,b,c>0. $$ Under suitable conditions… read more here.
Keywords: order partial; space; partial vartheta; left right ... See more keywords
Sustainable Innovation: The Italian Scenario Studied Through Higher-Order Partial Least Squares-Path Modeling
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DOI: 10.1007/s11205-021-02846-w
Abstract: What is the real meaning of sustainable innovation? How is sustainable innovation different from other forms of innovation? How does sustainable innovation contribute to societal development? How can we measure the sustainable innovation of a… read more here.
Keywords: sustainable innovation; least squares; innovation; order partial ... See more keywords
Optimal control of first-order partial differential inclusions in bounded region
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DOI: 10.1080/00207179.2021.1886328
Abstract: The paper is devoted to the Lagrange problem in the bounded region for first-order partial differential inclusions (PDIs). For this, using discretisation method and locally adjoint mappings (LAMs),... read more here.
Keywords: partial differential; first order; differential inclusions; order partial ... See more keywords
Boundary Value Problems for a Fourth Order Partial Differential Equation with an Unknown Right-hand Part
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DOI: 10.1134/s1995080221030203
Abstract: Abstract In this article in a rectangular domain inverse boundary value problems with local and non-local boundary conditions for a fourth order partial differential equation were formulated and investigated. The solutions of the inverse problems… read more here.
Keywords: differential equation; order partial; partial differential; fourth order ... See more keywords
Construction of Computer Microscope Image Segmentation Model Based on Fourth-Order Partial Differential Equation Smoothing
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DOI: 10.1155/2022/4355184
Abstract: In order to solve the problem of image noise, the author proposes a computer microscope image segmentation model based on the smoothing of fourth-order partial differential equations. On the basis of the functional describing the… read more here.
Keywords: partial differential; fourth order; model; order partial ... See more keywords
Haar wavelet method for solving coupled system of fractional order partial differential equations
Sign Up to like & getrecommendations! Published in 2021 at "Indonesian Journal of Electrical Engineering and Computer Science"
DOI: 10.11591/ijeecs.v21.i3.pp1444-1454
Abstract: This paper deal with the numerical method, based on the operational matrices of the Haar wavelet orthonormal functions approach to approximate solutions to a class of coupled systems of time-fractional order partial differential equations (FPDEs.).… read more here.
Keywords: method; partial differential; order partial; differential equations ... See more keywords
Chaotic behavior for the third-order partial differential equations
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DOI: 10.2298/fil2416567c
Abstract: In our investigation, our primary focus has been on a third-order partial differential equation, as expressed below: avttt (y,t) + bvtt (y,t) + cvt (y,t)-?2vyy(y,t)-?yyvt (y,t) = ?v(y,t). (0.1) This equation represents the one-dimensional variant… read more here.
Keywords: equation; order partial; third order; chaotic behavior ... See more keywords
Numerical Solutions of Variable Coefficient Higher-Order Partial Differential Equations Arising in Beam Models
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DOI: 10.3390/e24040567
Abstract: In this work, an efficient and robust numerical scheme is proposed to solve the variable coefficients’ fourth-order partial differential equations (FOPDEs) that arise in Euler–Bernoulli beam models. When partial differential equations (PDEs) are of higher… read more here.
Keywords: partial differential; higher order; order; beam models ... See more keywords
On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Boundary Conditions in Sobolev Classes
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DOI: 10.3390/math7030235
Abstract: In this paper, we study the solvability of a mixed problem for a high-order partial differential equation with fractional derivatives with respect to time, and with Laplace operators with spatial variables and nonlocal boundary conditions… read more here.
Keywords: problem high; order partial; solvability mixed; partial differential ... See more keywords
Some properties of the first-order partial differential equation in the spaces Vα and Lp
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DOI: 10.47974/jim-1880
Abstract: We want to prove the realization of periodic solutions, their density, strong and exponential stability in the Lp, 0 < p < 1 and Vα spaces of first order partial differential equation. read more here.
Keywords: differential equation; first order; partial differential; order partial ... See more keywords