Results 21 to 30 of about 431 (62)

Oscillatory bifurcation problems for ODEs with logarithmic nonlinearity

open access: yesOpen Mathematics, 2021
We study the global structure of the oscillatory perturbed bifurcation problem which comes from the stationary logarithmic Schrödinger equation −u″(t)=λ(log(1+u(t))+sinu(t)),u(t)>0,t∈I≔(−1,1),u(±1)=0,-{u}^{^{\prime\prime} }\left(t)=\lambda (\log \left(1 ...
Shibata Tetsutaro
doaj   +1 more source

Multiple Positive solutions of a $(p_1,p_2)$-Laplacian system with nonlinear BCs [PDF]

open access: yes, 2015
Using the theory of fixed point index, we discuss existence, non-existence, localization and multiplicity of positive solutions for a $(p_1,p_2)$-Laplacian system with nonlinear Robin and/or Dirichlet type boundary conditions.
Cianciaruso, Filomena   +1 more
core   +2 more sources

On the evolutionary bifurcation curves for the one-dimensional prescribed mean curvature equation with logistic type

open access: yesOpen Mathematics, 2021
We study the bifurcation diagrams and exact multiplicity of positive solutions for the one-dimensional prescribed mean curvature equation −u′1+u′2′=λu1+up,−LL∗L\gt {L}^{\ast }, and is exactly decreasing for λ>λ∗\lambda \gt {\lambda }^{\ast } if ...
Zhang Jiajia   +3 more
doaj   +1 more source

Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator [PDF]

open access: yes, 2004
In this paper we extend existing results concerning generalized eigenvalues of Pucci's extremal operators. In the radial case, we also give a complete description of their spectrum, together with an equivalent of Rabinowitz's Global Bifurcation Theorem ...
Alexander Quaas   +36 more
core   +6 more sources

Existence results for some nonlinear problems with $\phi$-Laplacian [PDF]

open access: yes, 2015
Using the barrier strip argument, we obtain the existence of solutions for the nonlinear boundary value problem $$ (\phi(u'))'=f(t,u,u'),\qquad u(0)=A,\qquad u'(1)=B, $$ where $\phi$ is an increasing ...
Liu, Rui, Ma, Ruyun, Zhang, Lu
core   +1 more source

Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments [PDF]

open access: yes, 2011
In this paper, we investigate the existence and uniqueness of positive solutions to arbitrary order nonlinear fractional differential equations with advanced arguments.
Guotao Wang   +2 more
core   +1 more source

Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain

open access: yesOpen Mathematics, 2017
In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon   +3 more
doaj   +1 more source

Existence of positive solutions of a superlinear boundary value problem with indefinite weight

open access: yes, 2015
We deal with the existence of positive solutions for a two-point boundary value problem associated with the nonlinear second order equation $u''+a(x)g(u)=0$. The weight $a(x)$ is allowed to change its sign. We assume that the function $g\colon\mathopen{[}
A. Zettl   +11 more
core   +1 more source

A Sub-Supersolution Approach for a Quasilinear Kirchhoff Equation

open access: yes, 2014
In this paper we establish an existence result for a quasilinear Kirchhoff equation via a sub and supersolution approach, by using the pseudomonotone operators ...
Alves, Claudianor O.   +1 more
core   +1 more source

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

open access: yesAdvanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
doaj   +1 more source

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