Results 71 to 80 of about 380 (109)

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
doaj   +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
doaj   +1 more source

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
doaj   +1 more source

A Multiplicity result for a class of strongly indefinite asymptotically linear second order systems [PDF]

arXiv, 2009
We prove a multiplicity result for a class of strongly indefinite nonlinear second order asymptotically linear systems with Dirichlet boundary conditions. The key idea for the proof is to bring together the classical shooting method and the Maslov index of the linear Hamiltonian systems associated to the asymptotic limits of the given nonlinearity.
arxiv  

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

Convex Solutions of systems of Monge-Ampère equations [PDF]

arXiv, 2010
The existence and multiplicity and nonexistence of nontrivial radial convex solutions of systems of Monge-Amp\`ere equations are established with superlinearity or sublinearity assumptions for an appropriately chosen parameter. The proof of the results is based on a fixed point theorem in a cone.
arxiv  

Radial Convex Solutions of Boundary Value Problems for Systems of Monge-Ampere equations [PDF]

arXiv, 2010
The existence, multiplicity and nonexistence of nontrivial radial convex solutions of a system of two weakly coupled Monge-Ampere equations are established with asymptotic assumptions for an appropriately chosen parameter. The proof of the results is based on Krasnoselskii's fixed point theorem in a cone.
arxiv  

Some remarks on positive solutions of nonlinear problems at resonance [PDF]

Journal of Informatics and Mathematical Sciences, Volume 3 (2011), Number 3, pp. 291-293, 2011
The proof of a result of J. J. Nieto [3] appeared in "Acta Math, Hung". (1992) concerning the positive solutions of nonlinear problems at resonance is corrected and improved.
arxiv  

Local controllability of the N-dimensional Boussinesq system with N-1 scalar controls in an arbitrary control domain [PDF]

arXiv, 2012
In this paper we deal with the local exact controllability to a particular class of trajectories of the N-dimensional Boussinesq system with internal controls having 2 vanishing components. The main novelty of this work is that no condition is imposed on the control domain.
arxiv  

Sequential fractional differential equations and inclusions with semi-periodic and nonlocal integro-multipoint boundary conditions

Journal of King Saud University: Science, 2019
This paper is concerned with the existence of solutions for Caputo type sequential fractional differential equations and inclusions supplemented with semi-periodic and nonlocal integro-multipoint boundary conditions involving Riemann-Liouville integral ...
Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi   +2 more
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