Fuzzy transform to approximate solution of two-point boundary value problems
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.3832
Abstract: We present a numerical method based on the fuzzy transform for solving second-order differential equations with boundary conditions. We demonstrate the effectiveness of the method by some examples. Copyright © 2016 John Wiley & Sons,… read more here.
Keywords: solution two; approximate solution; fuzzy transform; transform approximate ... See more keywords
Numerical Solution of a Two-Point Boundary-Value Problem for a System of Linear Differential Equations with Nonlinear Two-Dimensional Spectral Parameter
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-04790-5
Abstract: We study the possibility of application of the implicit-function method to the solution of two-point boundary-value problems for systems of linear differential equations with nonlinear two-dimensional spectral parameters appearing in the coefficients of this system… read more here.
Keywords: solution two; linear differential; boundary value; two point ... See more keywords
A four-point boundary value problem with singular $$\phi $$ϕ-Laplacian
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0703-1
Abstract: We prove that the four-point boundary value problem $$\begin{aligned} -\left[ \phi (u') \right] ^{\prime }=f(t,u, u'), \quad u(0)=\alpha u(\xi ), \quad u(T)=\beta u(\eta ), \end{aligned}$$-ϕ(u′)′=f(t,u,u′),u(0)=αu(ξ),u(T)=βu(η),where $$f:[0,T] \times \mathbb {R}^2 \rightarrow \mathbb {R}$$f:[0,T]×R2→R is continuous, $$\alpha… read more here.
Keywords: value problem; phi; boundary value; point ... See more keywords
On the number of positive solutions for a four-point boundary value problem with generalized Laplacian
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-021-00883-z
Abstract: This paper mainly deals with a four-point boundary value problem for a class of generalized Laplacian equations with singular weight and positive parameter. By applying the fixed point theorem of expansion/compression of a cone and… read more here.
Keywords: value problem; point; boundary value; point boundary ... See more keywords
Bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-016-0998-7
Abstract: This paper studies the bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations with parameter. Using the topological degree theory and the bifurcation technique, the existence of positive solutions is… read more here.
Keywords: bifurcation positive; positive solutions; three point; boundary value ... See more keywords
Existence of Solution for a p-Laplacian Multi-point Boundary Value Problem at Resonance
Sign Up to like & getrecommendations! Published in 2018 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-017-0259-7
Abstract: In this paper, we are concerned with the p-Laplacian multi-point boundary value problem $$\begin{aligned} (\phi _{p}(x''(t)))'= & {} f(t,x(t),x'(t),x''(t)),\,t\in (0, 1),\\ \phi _{p}(x''(0))= & {} \sum _{i=1}^{m}\alpha _{i}\phi _{p}(x''(\xi _{i})),\\ ~~x'(1)= & {} \sum _{j=1}^{n}\beta… read more here.
Keywords: multi point; value problem; boundary value; point boundary ... See more keywords
Existence of Solutions for $${\mathrm {m}}$$-Point Boundary Value Problems on an Infinite Time Scale
Sign Up to like & getrecommendations! Published in 2020 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-020-00524-w
Abstract: In this study, we present the existence result for the the second order $${\mathrm {m}}$$-point boundary value problems on infinite time scales. Nagumo condition, lower and upper solutions play an important role in the arguments. read more here.
Keywords: problems infinite; mathrm point; boundary value; point boundary ... See more keywords
Asymptotic tracking for linear and nonlinear systems: a two-point boundary value formulation
Sign Up to like & getrecommendations! Published in 2019 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2019.12.027
Abstract: Abstract In this paper, the output tracking problem for linear and nonlinear systems in normal form is revisited in the case of non-minimum phase dynamics and in the absence of any model for the exosystem… read more here.
Keywords: point boundary; linear nonlinear; boundary value; two point ... See more keywords
Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2017.1303139
Abstract: ABSTRACT In this paper, Legendre wavelet collocation method is applied for numerical solutions of the fractional-order differential equations subject to multi-point boundary conditions. The explicit formula of fractional integral of a single Legendre wavelet is… read more here.
Keywords: boundary conditions; fractional order; multi point; point boundary ... See more keywords
On the Spectrum of Two-Point Boundary Value Problems for the Dirac Operator
Sign Up to like & getrecommendations! Published in 2021 at "Differential Equations"
DOI: 10.1134/s0012266121080036
Abstract: We consider the spectral problem for a Dirac operator with arbitrary two-point boundary conditions and an arbitrary complex-valued integrable potential. The existence of nontrivial boundary value problems of this type with an unbounded growth of… read more here.
Keywords: dirac operator; boundary value; two point; point boundary ... See more keywords
Unique iterative positive solutions for a singular p-Laplacian fractional differential equation system with infinite-point boundary conditions
Sign Up to like & getrecommendations! Published in 2019 at "Boundary Value Problems"
DOI: 10.1186/s13661-019-1227-8
Abstract: By using the method of mixed monotone operator, a unique positive solution is obtained for a singular p-Laplacian boundary value system with infinite-point boundary conditions in this paper. Green’s function is derived and some useful… read more here.
Keywords: system infinite; boundary conditions; positive solutions; infinite point ... See more keywords