Blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition [PDF]
In this paper, we consider a semilinear heat equation ut=Δu+c(x,t)up for (x,t)∈Ω×(0,∞) with nonlinear and nonlocal boundary condition u|∂Ω×(0,∞)=∫Ωk(x,y,t)uldy and nonnegative initial data where p>0 and l>0. We prove global existence theorem for max(p,l)⩽
Alexander Gladkov +3 more
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Local null controllability for a parabolic-elliptic system with local and nonlocal nonlinearities
This work deals with the null controllability of an initial boundary value problem for a parabolic-elliptic coupled system with nonlinear terms of local and nonlocal kinds. The control is distributed, locally in space and appears only in one PDE.
Laurent Prouvée, Juan Limaco
doaj +1 more source
Low‐dimensional materials (0D, 1D, and 2D) exhibit unique electronic and physicochemical properties, enabling advanced nanoelectronic and optoelectronic devices. Mixed‐dimensional heterostructures combine these materials to enhance functionality.
Qaisar Alam +3 more
wiley +1 more source
Imidazolium Modified UiO‐67 Metal‐Organic Frameworks for CO2 Adsorption
CO2 sorption in UiO‐67 and its imidazolium‐functionalized derivatives is examined with emphasis on the role of different counterions. Structural characterization and spectroscopic studies provide insight into how functionalization affects pore environments and CO2 interactions.
Lisa Eisele +6 more
wiley +1 more source
Monotone iterative method for infinite systems of parabolic functional-differential equations with nonlocal initial conditions [PDF]
The nonlocal initial value problem for an infinite system of parabolic semilinear functional-differential equations is studied. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly ...
Pudelko, Anna
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Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces
In this paper, we study a semilinear differential equations with nonlocal initial conditions in Banach spaces. We derive conditions for $f$, $T(t)$, and $g$ for the existence of mild solutions.
Xingmei Xue
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On stochastic solutions of nonlocal random functional integral equations
In this paper, we use Schauder’s fixed point to establish the existence of at least one solution for a functional nonlocal stochastic differential equation under sufficient conditions in the space of all square integrable stochastic processes with a ...
M.M. Elborai, M.I. Youssef
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ABSTRACT Coordinating high‐intensity human activities with fragile ecosystems remains a major challenge for global sustainability. Accurate assessment of human–nature coordination (HNC) is critical, yet county‐level variations, underlying drivers, and responses to ecological zoning have seldom been examined simultaneously within a unified framework. We
Qi Liu +4 more
wiley +1 more source
On a Fourier problem for evolution differential-functional equations with nonlocal boundary conditions [PDF]
The boundary value problems with nonlocal boundary conditions have been treated in many works. Individually, Day [1] while studying quasistatic thermoelasticity posed a model involving parabolic equation with nonlocal boundary condition.
Bokalo, M., Dmytriv, V.
core +2 more sources
Initial Value Problem for B-Hyperbolic Equation with Integral Condition of the Second Kind [PDF]
© 2018, Pleiades Publishing, Ltd. For the hyperbolic equation with Bessel operator, we study the initial boundaryvalue problem with integral nonlocal condition of the second kind in a rectangular domain.
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