Results 51 to 60 of about 623 (90)
A new approach for solving Bratu’s problem
Demonstratio Mathematica, 2019 A numerical technique for one-dimensional Bratu’s problem is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are exhibited to verify the efficiency and accuracy of the proposed technique.
Ghomanjani Fateme, Shateyi Stanford
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B tensors and tensor complementarity problems
, 2017 In this paper, one of our main purposes is to prove the boundedness of solution set of tensor complementarity problem with B tensor such that the specific bounds only depend on the structural properties of tensor.
Mei, Wei, Song, Yisheng
core +1 more source
Advanced Nonlinear StudiesWe consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
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Nontrivial solutions of a parameter-dependent heat flow problem with deviated arguments [PDF]
arXiv, 2023 By means of a recent Birkhoff-Kellogg type theorem set in affine cones, we discuss the solvability of a parameter-dependent thermostat problem subject to deviated arguments. We illustrate in a specific example the constants that occur in our theory.
arxiv
Nonlinear perturbed integral equations related to nonlocal boundary value problems [PDF]
Fixed Point Theory, 2018, Volume 19, No. 1, 65-92, 2016 By topological arguments, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions of a class of perturbed nonlinear integral equations. These type of integral equations arise, for example, when dealing with boundary value problems where nonlocal terms occur in the differential equation and/or in the ...
arxiv +1 more source
Monotone and convex positive solutions for fourth-order multi-point boundary value problems
Boundary Value Problems, 2011 The existence results of multiple monotone and convex positive solutions for some fourth-order multi-point boundary value problems are established. The nonlinearities in the problems studied depend on all order derivatives. The analysis relies on a fixed
Chunfang Shen, Liu Yang, Weiguo Zhang
doaj
Nonzero radial solutions for elliptic systems with coupled functional BCs in exterior domains [PDF]
Proceedings of the Edinburgh Mathematical Society, 62, (2019),
747-769, 2016 We prove new results on the existence, non-existence, localization and multiplicity of nontrivial radial solutions of a system of elliptic boundary value problems on exterior domains subject to nonlocal, nonlinear, functional boundary conditions. Our approach relies on fixed point index theory.
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Solution matching for boundary value problems for linear equations
, 1989 International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 713-720, 1989.
Johnny Henderson
wiley +1 more source
Inverse scattering on the line with a transfer condition [PDF]
Mediterranean Journal of Mathematics, 12 (2015), 729-750, 2017 The inverse scattering problem for Sturm-Liouville operators on the line with a matrix transfer condition at the origin is considered. We show that the transfer matrix can be reconstructed from the eigenvalues and reflection coefficient. In addition, for potentials with compact essential support, we show that the potential can be uniquely reconstructed.
arxiv +1 more source
Monotone iterative technique for nonlinear fourth order integro-differential equations [PDF]
arXiv, 2020 In this paper, we consider the solvability of a class of nonlinear fourth order integro-differential equations with Navier boundary condition. We first deal with a corresponding linear problem and establish a maximum principle. Using the maximum principle, we develop a monotone iterative technique in the presence of lower and upper solutions to solve ...
arxiv