Results 141 to 150 of about 95,958 (319)
Nonlocal criteria for compactness in the space of $L^{p}$ vector fields
, 2018 This work presents a set of sufficient conditions that guarantee a compact inclusion in the function space of $L^p$ vector fields defined on a domain that is either a bounded domain in $\mathbb{R}^{d}$ or $\mathbb{R}^{d}$ itself.
Du, Qiang +2 more
core
Existence results for some integro-differential equations with state-dependent nonlocal conditions in Fréchet Spaces [PDF]
, 2020 Mamadou Abdoul Diop +3 more
openalex +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley +1 more source
Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
wiley +1 more source
Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
wiley +1 more source
Positive solutions of a boundary value problem with integral boundary conditions
Electronic Journal of Differential Equations, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters $mu^*, lambda ...
Jeff R. L. Webb
doaj
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To evaluate a three dimensional dual echo magnetic resonance fingerprinting sequence for simultaneous proton resonance frequency shift (PRFS) and T1$$ {T}_1 $$ thermometry during microwave ablation with T1$$ {T}_1 $$ improving robustness near gas bubble induced susceptibility changes while PRFS provides high precision elsewhere ...
Moritz Gutt +7 more
wiley +1 more source
Global existence and asymptotic stability of mild solutions for stochastic evolution equations with nonlocal initial conditions [PDF]
, 2017 Pengyu Chen +2 more
openalex +1 more source