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Coupled System of Boundary Value Problems by Galerkin Method with Cubic B-Splines [PDF]

open access: yesE3S Web of Conferences, 2019
Coupled system of second order linear and nonlinear boundary value problems occur in various fields of Science and Engineering including heat and mass transfer.
Kasi Viswanadham K.N.S
doaj   +1 more source

Differential equations with nonlinear boundary conditions [PDF]

open access: yesProceedings of the American Mathematical Society, 1994
This paper shows the existence of multiple unbounded branches of solutions for certain equations via the Nielsen fixed-point theory.
openaire   +2 more sources

Smoothing for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions

open access: yesJournal of Mathematical Analysis and Applications, 1997
The authors are concerned with smoothing effects for a class of nonlinear partial differential equations of parabolic type. They extend some known properties of the solution in the linear case, to their nonlinear case. Such properties are: \(u_t(\cdot, t)\to 0\) as \(t\to \infty\) in the \(L^2\)-norm, and \(u(\cdot,t)\) is bounded on \((0,\infty ...
Goldstein, Gisèle Ruiz   +1 more
openaire   +2 more sources

A free boundary problem for the p-Laplacian with nonlinear boundary conditions

open access: yesAnnali di Matematica Pura ed Applicata (1923 -), 2023
AbstractWe study a nonlinear generalization of a free boundary problem that arises in the context of thermal insulation. We consider two open sets $$\Omega \subseteq A$$ Ω ⊆ A , and we search for an optimal A in order to minimize a ...
Acampora P., Cristoforoni E.
openaire   +3 more sources

On parametrized problems with non-linear boundary conditions

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2004
We consider a parametrized boundary-value problem containing an unknown parameter both in the non-linear ordinary differential equations and in the non-linear boundary conditions. By using a suitable change of variables, we reduce the original problem to
Miklós Rontó, Nataliya Shchobak
doaj   +1 more source

Existence and uniqueness of solutions for a class of higher-order fractional boundary value problems with the nonlinear term satisfying some inequalities

open access: yesJournal of Inequalities and Applications, 2020
This paper focuses on a class of hider-order nonlinear fractional boundary value problems. The boundary conditions contain Riemann–Stieltjes integral and nonlocal multipoint boundary conditions.
Fang Wang, Lishan Liu, Yonghong Wu
doaj   +1 more source

Research of the three-point boundary value problems for nonlinear second-order difference equation

open access: yesJournal of Hebei University of Science and Technology, 2021
In order to extend the basic theory of nonlinear discrete boundary value problems,this paper studied the sufficient conditions for the existence of positive solutions for a class of nonlinear second-order difference equations with three-point boundary ...
Wenying WEI, Yude JI, Yanping GUO
doaj   +1 more source

New results and applications on the existence results for nonlinear coupled systems

open access: yesAdvances in Difference Equations, 2021
In this manuscript, we study a certain classical second-order fully nonlinear coupled system with generalized nonlinear coupled boundary conditions satisfying the monotone assumptions.
Imran Talib   +4 more
doaj   +1 more source

Scalar conservation laws with nonlinear boundary conditions [PDF]

open access: yes, 2007
International audienceThis Note deals with uniqueness and continuous dependence of solutions to the problem u_t + div ϕ(u) = f on (0,T ) ×Ω with initial condition u(0, ·) = u_0 on Ω and with (formal) nonlinear boundary conditions ϕ(u) · ν ∈ β(t,x,u) on ...
Sbihi, Karima   +3 more
core   +1 more source

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