Results 51 to 60 of about 125 (84)

Existence and Multiplicity Results for Systems of First-Order Differential Equations via the Method of Solution-Regions

Advanced Nonlinear Studies, 2018
In this paper, we establish existence and multiplicity results for systems of first-order differential equations. To this end, we introduce the method of solution-regions.
Frigon Marlène
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Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions

Electronic Journal of Differential Equations, 2002
The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of three point boundary value problem for second order differential equations with nonlinear boundary ...
Bashir Ahmad, Rahmat Ali Khan, Paul W. Eloe   +2 more
doaj  

On generalized nonlinear Euler-Bernoulli Beam type equations

Acta Universitatis Sapientiae: Mathematica, 2018
This paper is devoted to the study of a nonlinear Euler-Bernoulli Beam type equation involving both left and right Caputo fractional derivatives. Differently from the approaches of the other papers where they established the existence of solution for the
Khaldi Rabah, Guezane-Lakoud Assia
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Variational approach to Kirchhoff-type second-order impulsive differential systems

Open Mathematics
In this study, we consider a Kirchhoff-type second-order impulsive differential system with the Dirichlet boundary condition and obtain the existence and multiplicity of solutions to the impulsive problem via variational methods.
Yao Wangjin, Zhang Huiping
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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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A Taylor-type numerical method for solving nonlinear ordinary differential equations

Alexandria Engineering Journal, 2013
A novel approximate method is proposed for solving nonlinear differential equations. Chang and Chang in [8] suggested a technique for calculating the one-dimensional differential transform of nonlinear functions.
H. Saberi Nik, F. Soleymani
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Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]

Bound Value Probl, 2023
Li C.
europepmc   +1 more source

Generalized (ψ,φ)-contraction to investigate Volterra integral inclusions and fractal fractional PDEs in super-metric space with numerical experiments

Nonlinear Engineering
This article demonstrates the behavior of generalized (ψ,φ\psi ,\varphi )-type contraction mappings involving expressions of rational-type in the context of super-metric spaces.
Shah Syed Khayyam, Sarwar Muhammad, Hleili Manel, Samei Mohammad Esmael, Abdeljawad Thabet   +4 more
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First order differential systems with a nonlinear boundary condition via the method of solution-regions. [PDF]

Bound Value Probl, 2021
Frigon M, Tella M, F Tojo FA.
europepmc   +1 more source

k-convex solutions for multiparameter Dirichlet systems with k-Hessian operator and Lane-Emden type nonlinearities

Advances in Nonlinear Analysis
In this article, our main aim is to investigate the existence of radial kk-convex solutions for the following Dirichlet system with kk-Hessian operators: Sk(D2u)=λ1ν1(∣x∣)(−u)p1(−v)q1inℬ(R),Sk(D2v)=λ2ν2(∣x∣)(−u)p2(−v)q2inℬ(R),u=v=0on∂ℬ(R).\left\{\begin ...
He Xingyue, Gao Chenghua, Wang Jingjing
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