Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 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 μ*, λ so ...
Webb, J.
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Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body [PDF]
, 2005 A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
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Multiderivative methods for nonlinear second order boundary value problems [PDF]
, 1985 Second, fourth and sixth order methods are developed and analysed for the numerical solution of non-linear second order boundary value problems. The methods arise from a two-step recurrence relation involving exponential terms, these being replaced by ...
Tirmizi, S I A, Twizell, E H
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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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Positive solutions of boundary value problems with nonlinear nonlocal boundary conditions [PDF]
Opuscula Mathematica, 2016 We consider the existence of at least three positive solutions of a nonlinear first order problem with a nonlinear nonlocal boundary condition given by \[\begin{aligned} x^{\prime}(t)& = r(t)x(t) + \sum_{i=1}^{m} f_i(t,x(t)), \quad t \in [0,1 ...
Seshadev Padhi, Smita Pati, D. K. Hota
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Boundary oscillations and nonlinear boundary conditions
Comptes Rendus. Mathématique, 2006 We study how oscillations in the boundary of a domain affect the behavior of solutions of elliptic equations with nonlinear boundary conditions of the type ∂ u
Arrieta, Jose M., Bruschi, Simone M.
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Coupled System of Boundary Value Problems by Galerkin Method with Cubic B-Splines [PDF]
E3S 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
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Differential equations with nonlinear boundary conditions [PDF]
Proceedings 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.
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Doubly Nonlinear Parabolic Equation with Nonlinear Boundary Conditions
Journal of Mathematical Analysis and Applications, 2001 A necessary and sufficient condition for global existence of all positive classical solutions is given. The proof relies on the construction of suitable upper and lower solutions.
Wang, Shu, Deng, Jucheng, Shi, Jine
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A free boundary problem for the p-Laplacian with nonlinear boundary conditions
Annali 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.
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