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Linear and weakly nonlinear stability analyses of Darcy Bénard convection with feedback control. [PDF]

Sci Rep
Siddheshwar PG, Revankar VV, Jagadeesh Kumar MS.   +2 more
europepmc   +1 more source

A Robust Numerical Framework for Hollow-Fiber Membrane Module Simulation and Solver Performance Analysis. [PDF]

Membranes (Basel)
de Menezes DQF, de Sá MCC, Vallejo NAC, de Melo TM, Campos LFO, Anzai TK, Pinto JCCDS.   +6 more
europepmc   +1 more source

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A short review on analytical methods for a fully fourth-order nonlinear integral boundary value problem with fractal derivatives

International journal of numerical methods for heat & fluid flow, 2020
Purpose This paper aims to review some effective methods for fully fourth-order nonlinear integral boundary value problems with fractal derivatives. Design/methodology/approach Boundary value problems arise everywhere in engineering, hence two-scale ...
Ji-Huan He
semanticscholar   +1 more source

Boundary-value problems with nonlinear boundary conditions

Nonlinearity, 1988
The authors deal with a general boundary value problem of the type: \(x'=F(t,x),T(x)=y,y\in R^ n\) where \(F(t,x)=A(t)x+f(t,x)\) and T is a continuous but not necessarily linear operator. It is shown that under suitable conditions the problem has at least one solution. The proof relies on a fixed-point theorem for condensing maps.
ANICHINI, GIUSEPPE, CONTI, GIUSEPPE
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A method of solving a nonlinear boundary value problem with a parameter for a loaded differential equation

Mathematical methods in the applied sciences, 2019
A nonlinear loaded differential equation with a parameter on a finite interval is studied. The interval is partitioned by the load points, at which the values of the solution to the equation are set as additional parameters.
D. Dzhumabaev, E. Bakirova, S. Mynbayeva
semanticscholar   +1 more source

Some Nonlinear Boundary Value Problems

SIAM Journal on Mathematical Analysis, 1976
Let $\Omega \subset R^m $ be a bounded domain and ${\bf L}$ a second order uniformly strongly elliptic partial differential operator. Let ${\bf B}$ be a linear boundary operator. Suppose $f(x,u)$ and $g(x,u)$ are functions on $\Omega \times R^1 $ which are nonincreasing with respect to u for sufficiently large values of $| u |$.
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On Nonlinear Boundary Value Problems for Differential Inclusions

Differential Equations, 2023
We consider autonomous differential inclusions with nonlinear boundary conditions. Sufficient conditions for the existence of solutions in the class of absolutely continuous functions are obtained for these inclusions. It is shown that the corresponding existence theorem applies to the Cauchy problem and the antiperiodic boundary value problem.
Arutyunov, A. V., Zhukovskaya, Z. T., Zhukovskiy, S. E.   +2 more
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Nonlinear boundary value problems and competition in the chemostat

Nonlinear Analysis: Theory, Methods & Applications, 1994
The authors seek the positive solutions to the boundary value problem \[ (1)\qquad y^{\prime\prime}_ i+ m_ i f_ i(x,y_ 1,y_ 2,\dots, y_ n)y_ i= 0,\quad i= 1,2,\dots,n,\quad 0\leq x\leq 1, \] \[ (2)\quad a_ i y_ i(0)- a_ i' y_ i'(0)=0, \] \[ (3)\quad b_ i y_ i(1)+ b_ i' y_ i'(1)= 0,\;i=1,2,\dots,n, \] where \(a_ i,a_ i',b_ i,b_ i'\geq 0\), \(a_ i+ a_ i'>
Baxley, JV, Thompson, HB
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Multiple Solutions of Nonlinear Boundary‐Value Problems

Studies in Applied Mathematics, 1980
A class of nonlinear boundary‐value problems containing a parameter is studied analytically and numerically. It is shown that under certain circumstances there are two families of solutions when the parameter tends to zero; one family comprises small solutions and is obtained by regular perturbations, while the other family comprises finite solutions ...
Rosenblat, S., Szeto, R.
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Solution of nonlinear boundary value problems—X

Chemical Engineering Science, 1976
Abstract One-parameter imbedding techniques are used to solve a standard nonlinear boundary value problem appearing in reaction engineering. The one-parameter imbedding technique is formulated in a general form, the resulting procedures are classified as the one-loop and multi-loop methods.
Milan Kubíček, Martin Holodniok, Vladimír Hlaváček   +2 more
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