Results 21 to 30 of about 424 (60)
Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]
, 2015 In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
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Open Mathematics, 2023 In this article, we prove the existence of eigenvalues for the problem (ϕp(u′(t)))′+λh(t)ϕp(u(t))=0,t∈(0,1),Au(0)−A′u′(0)=0,Bu(1)+B′u′(1)=0\left\{\begin{array}{l}\left({\phi }_{p}\left(u^{\prime} \left(t)))^{\prime} +\lambda h\left(t){\phi }_{p}\left(u ...
Wei Liping, Su Shunchang
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Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator [PDF]
, 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
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Multiple positive solutions for a class of Neumann problems [PDF]
, 2015 We study the existence of multiple positive solutions of the Neumann problem \begin{equation*} \begin{split} -u''(x)&=\lambda f(u(x)), \qquad x\in(0,1),\\ u'(0)&=0=u'(1), \end{split} \end{equation*} where $\lambda$ is a positive parameter, $f\in C([0 ...
Gao, Hongliang, Ma, Ruyun
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Existence results for some nonlinear problems with $\phi$-Laplacian [PDF]
, 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
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Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments [PDF]
, 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
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Open 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
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Existence of positive solutions of a superlinear boundary value problem with indefinite weight
, 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
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A Sub-Supersolution Approach for a Quasilinear Kirchhoff Equation
, 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
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Advanced Nonlinear Studies, 2021 The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
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