A5047832648- Advanced Mathematical Modeling in Engineering
- Nonlinear Partial Differential Equations
- Nonlinear Differential Equations Analysis
- Differential Equations and Boundary Problems
- Differential Equations and Numerical Methods
- Stability and Controllability of Differential Equations
- Spectral Theory in Mathematical Physics
- Numerical methods for differential equations
- Advanced Mathematical Physics Problems
- advanced mathematical theories
- Numerical methods in inverse problems
- Advanced Differential Equations and Dynamical Systems
- Mathematical and Theoretical Epidemiology and Ecology Models
- Magnetic Bearings and Levitation Dynamics
- Fixed Point Theorems Analysis
- Spacecraft Dynamics and Control
- Electric Motor Design and Analysis
- Aerospace Engineering and Control Systems
- Augmented Reality Applications
- Quantum chaos and dynamical systems
- Advanced Harmonic Analysis Research
- Bayesian Methods and Mixture Models
- Space Satellite Systems and Control
- Medical Image Segmentation Techniques
- Material Science and Thermodynamics
Mississippi State University
2015-2024
Jiangsu University
2023
Hanoi University of Science and Technology
2022
Pennsylvania State University
2006
Georgia Southern University
2006
University of North Carolina at Greensboro
2001
University of Utah
1993-1994
City University
1990
Deep generative models have the potential to fundamentally change way we create high-fidelity digital content but are often hard control. Prompting a model is promising recent development that in principle enables end-users creatively leverage zero-shot and few-shot learning assign new tasks an AI ad-hoc, simply by writing them down. However, for majority of effective prompts currently largely trial error process. To address this, discuss key opportunities challenges interactive creative...
We consider the existence of positive solutions to BVP \begin{gather*} (p(t)u')' + \lambda f(t,u)=0,\qquad r<t<R,\ au(r)-bp(r)u'(r)=0,\ cu(R) +dp(R)u'(R)=0, \end{gather*} where $\lambda >0$. Our results extend some existing literature on superlinear semipositone problems and singular BVPs. proofs are quite simple based fixed point theorems in a cone.
Consider the system where λ is a positive parameter and Ω bounded domain in R N . We prove existence of large solution for when lim x → ∞ ( f Mg ))/ ) = 0 every M > 0. In particular, we do not need any monotonicity assumptions on f, g, nor sign conditions (0), g (0).
During recent years much work has been devoted to the study of positive solutions semilinear elliptic equations where nonlinear terms grow superlinearly at infinity.Many results exist which show that depending upon topology underlying domain (see [1,5]), different existence must be expected, and in fact, on annular domains hold for larger classes nonlinearities rather than case is a balLIn this paper we continue such problems provide somewhat unified treatment earlier results.The dependence...
We consider the existence of positive solutions for boundary-value problem (q(t)ϕ(u′))′ + λ f(t,u) = 0, r < t R , au(r) − b ϕ −1 ( q(r))u′(r) cu(R) dϕ (q(R))u′(R) where ϕ(u′) | u ′| p −2 ′, > 1, f is -superlinear or -sublinear at ∞ and allowed to become −∞ 0. Our results unify extend many known in literature.
We study positive solutions for the system <p align="center"> $-\Delta_p u = \lambda f(v)$ in $\quad \Omega $ align="left" class="times"> v g(u)$ \quad $u 0 v$ on \partial \Omega$ where > is a parameter, \Delta_p denotes p-Laplacian operator defined by \Delta_p(z)$:=div$(|\nabla z|^{p-2}\nabla z) p> 1 and bounded domain with smooth boundary. Here f,g \in C[0,\infty) belong to class of functions satisfying \lim_{z \to \infty}\frac{f(z)}{z^{p-1}}=0, \infty}\frac{g(z)}{z^{p-1}}=0 $. In...
We obtain necessary and sufficient conditions for the existence of positive solutions a class sublinear Dirichlet quasilinear elliptic systems.
We establish existence and multiplicity of positive solutions to the quasilinear boundary value problem \begin{align*} \operatorname {div}(|\nabla u|^{p-2}\nabla u) &= -\lambda f(u)\quad \text {in $\Omega $},\\ u 0\quad {on$\partial \Omega $}, \end{align*} where $\Omega$ is a bounded domain in $R^{n}$ with smooth $\partial \Omega$, $f:[0,\infty )\rightarrow R$ continuous p-sublinear at $\infty ,$ $\lambda$ large parameter.