On the solvability of a boundary value problem on the real line [PDF]
Boundary Value Problems, 2011 We investigate the existence of heteroclinic solutions to a class of nonlinear differential equations ( a ( x ) Φ ( x ′ ( t ) ) ) ′ = f ( t , x ( t ) , x ′ ( t ) ) , a . e . t &
Marcelli Cristina +2 more
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GHM method for obtaining rationalsolutions of nonlinear differential equations. [PDF]
Springerplus, 2015 In this paper, we propose the application of the general homotopy method (GHM) to obtain rational solutions of nonlinear differential equations. It delivers a high precision representation of the nonlinear differential equation using a few linear ...
Vazquez-Leal H, Sarmiento-Reyes A.
europepmc +2 more sources
Modeling measles transmission in adults and children: Implications to vaccination for eradication. [PDF]
Infect Dis ModelDespite the availability of successful vaccines, measles outbreaks have occurred frequently in recent years, presumably due to the lack of proper vaccination implementation.
Pokharel A +4 more
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, 2021 In this work, we adapted another time the Adomian decomposition method for solving nonlinear and non-autonomous ODEs systems. Therefore, our expressions of the Adomian polynomials are determined for a several-variable differential operators. The solution
Z. In, T Badredine
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New results on the existence of periodic solutions for Rayleigh equations with state-dependent delay
Nonautonomous Dynamical Systems, 2022 We consider a Rayleigh-type equation with state–dependent delay ℘″(ϑ)+𝒱1(ϑ,℘(ϑ))+A(℘(ϑ−𝒱2(ϑ,℘(ϑ))))=B(ϑ).\wp ''\left( \vartheta \right) + \mathcal{V}{_1}\left( {\vartheta ,\wp \left( \vartheta \right)} \right) + A\left( {\wp \left( {\vartheta ...
Eswari Rajendiran +4 more
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Third-order differential equations with three-point boundary conditions
Open Mathematics, 2021 In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of positive
Cabada Alberto, Dimitrov Nikolay D.
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Analysis of positive solutions to one-dimensional generalized double phase problems
Advances in Nonlinear Analysis, 2022 We study positive solutions to the one-dimensional generalized double phase problems of the form: −(a(t)φp(u′)+b(t)φq(u′))′=λh(t)f(u),t∈(0,1),u(0)=0=u(1),\left\{\begin{array}{l}-(a\left(t){\varphi }_{p}\left(u^{\prime} )+b\left(t){\varphi }_{q}\left(u ...
Son Byungjae, Sim Inbo
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Solution for a rotational pendulum system by the Rach–Adomian–Meyers decomposition method
Nonlinear Engineering, 2022 In this article, we report for the first time the application of a novel and extremely valuable methodology called the Rach–Adomian–Meyers decomposition method (MDM) to obtain numerical solutions to the rotational pendulum equation.
González-Gaxiola O. +2 more
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Boundary value problems associated with singular strongly nonlinear equations with functional terms
Advances in Nonlinear Analysis, 2020 We study boundary value problems associated with singular, strongly nonlinear differential equations with functional terms of ...
Biagi Stefano +3 more
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Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales
Moroccan Journal of Pure and Applied Analysis, 2021 In this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem.
Bouchelaghem Faycal +2 more
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