Results 61 to 70 of about 242 (185)
On weak solutions of semilinear hyperbolic‐parabolic equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper we prove the existence and uniqueness of weak solutions of the mixed problem for the nonlinear hyperbolic‐parabolic equation urn:x-wiley:01611712:media:ijmm289648:ijmm289648-math-0001 with null Dirichlet boundary conditions and zero initial data, where F(s) is a continuous function such that sF(s) ≥ 0, ∀s ∈ R and {A(t); t ≥ 0} is a ...
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Global attractor for a semilinear parabolic equation involving Grushin operator
Electronic Journal of Differential Equations, 2008 The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
Phan Quoc Hung +3 more
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Modeling Spiral Chaos in Predator–Prey Dynamics Using Implicit Integration Factor Schemes
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.This paper presents efficient implicit integration factor (IIF) methods as robust alternatives to classical finite difference schemes for the numerical solution of nonlinear time‐dependent reaction–diffusion equations in one and two spatial dimensions.
Kolade M. Owolabi +4 more
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A Fully Implicit Numerical Model for Time‐Fractional Multiasset Black–Scholes Equations
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper proposes and validates a finite‐difference numerical model for time‐fractional multiasset Black–Scholes option‐pricing problems. The model adopts a Caputo time derivative of order α ∈ (0, 1] to capture the memory effects of asset prices. A logarithmic coordinate transformation is first applied to convert the pricing equation into a constant ...
Yan Zhou, Yunxing Zhang, Santhosh George
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Approximate controllability for fractional semilinear parabolic equations
Computers & Mathematics with Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Yong +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper, we consider a semilinear parabolic equation $$u_t=\Delta u+u^q\int_0^tu^p(x,s)ds,\quad x\in \Omega,\quad t>0$$ with nonlocal nonlinear boundary condition $u|_{\partial\Omega\times(0,+\infty)}=\int_\Omega\varphi(x,y) u^l(y,t)dy$ and ...
Dengming Liu, Chunlai Mu
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Stability and Reproduction Dynamics in Fractional‐Order Reaction‐Diffusion Models of HIV/AIDS
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This research focuses on introducing fractional‐order derivatives to an HIV/AIDS mathematical model in order to provide a good representation of disease dynamics. The central point of this work is evaluating the stability of equilibrium points through the use of fractional calculus with an important attention to the role of the basic reproductive ...
Khelifa Bouaziz +6 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir +4 more
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Blow-up Criteria for Semilinear Parabolic Equations
Journal of Mathematical Analysis and Applications, 2000 The authors consider initial boundary value problems for the semilinear equation \(u_t-\Delta u=f(u)\) with \(C_0(\overline\Omega)\) initial data and zero data on the boundary. The nonlinearity \(f\in C^1\) supposed to be a convex function. they prove blow-up criteria based on the construction of super- and sub-solutions for the problem under ...
Kohda, Atsuhito, Suzuki, Takashi
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Attractors for Nonautonomous Parabolic Equations without Uniqueness
International Journal of Differential Equations, 2010 Using the theory of uniform global attractors of multivalued semiprocesses, we prove the existence of a uniform global attractor for a nonautonomous semilinear degenerate parabolic equation in which the conditions imposed on the nonlinearity provide the ...
Cung The Anh, Nguyen Dinh Binh
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