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Displaying 341 – 360 of 386

Singular $φ$ -Laplacian third-order BVPs with derivative dependance

Smaïl Djebali, Ouiza Saifi (2016)

Archivum Mathematicum

This work is devoted to the existence of solutions for a class of singular third-order boundary value problem associated with a $φ$ -Laplacian operator and posed on the positive half-line; the nonlinearity also depends on the first derivative. The upper and lower solution method combined with the fixed point theory guarantee the existence of positive solutions when the nonlinearity is monotonic with respect to its arguments and may have a space singularity; however no Nagumo type condition is assumed....

Solution curves of $2 m$ -th order boundary-value problems.

Rynne, Bryan P. (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solutions for $m$ -point BVP with sign changing nonlinearity.

Su, Hua (2009)

Discrete Dynamics in Nature and Society

Solutions to second order non-homogeneous multi-point bvps using a fixed-point theorem.

Liu, Yuji (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solvability for second-order m-point boundary value problems at resonance on the half-line.

Liu, Yang, Li, Dong, Fang, Ming (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solvability for two classes of higher-order multi-point boundary value problems at resonance.

Gao, Yunzhu, Pei, Minghe (2008)

Boundary Value Problems [electronic only]

Some remarks on three-point and four-point bvp's for second-order nonlinear differential equations.

Kwong, Man Kam, Wong, James S.W. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Stationary solutions of semilinear Schrödinger equations with trapping potentials in supercritical dimensions

Filip Ficek (2023)

Archivum Mathematicum

Nonlinear Schrödinger equations are usually investigated with the use of the variational methods that are limited to energy-subcritical dimensions. Here we present the approach based on the shooting method that can give the proof of existence of the ground states in critical and supercritical cases. We formulate the assumptions on the system that are sufficient for this method to work. As examples, we consider Schrödinger-Newton and Gross-Pitaevskii equations with harmonic potentials.

Strong singularities in mixed boundary value problems

Irena Rachůnková (2006)

Mathematica Bohemica

We study singular boundary value problems with mixed boundary conditions of the form ${(p (t) u^{'})}^{'} + p (t) f (t, u, p (t) u^{'}) = 0, lim_{t \to 0 +} p (t) u^{'} (t) = 0, u (T) = 0,$ where $[0, T] \subset ℝ .$ We assume that $ℝ^{2},$ $f$ satisfies the Carathéodory conditions on $(0, T) \times$ $p \in C ...$

Successive iteration and positive solutions for nonlinear $m$ -point boundary value problems on time scales.

Sang, Yanbin (2009)

Discrete Dynamics in Nature and Society

Symmetric positive solutions for nonlinear singular fourth-order eigenvalue problems with nonlocal boundary condition.

Xu, Fuyi, Liu, Jian (2010)

Discrete Dynamics in Nature and Society

Systems of singular BVPs - existence of solutions and their properties

Aleksandra Orpel (2014)

Banach Center Publications

We discuss the existence and properties of solutions for systems of singular second-order ODEs in both sublinear and superlinear cases. Our approach is based on the variational method enriched by some topological ideas. We also investigate the continuous dependence of solutions on functional parameters.

The existence of positive solutions for nonlinear boundary system with $p$ -Laplacian operator based on sign-changing nonlinearities.

Xu, Fuyi (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

The existence of positive solutions for third-order $p$ -Laplacian $m$ -point boundary value problems with sign changing nonlinearity on time scales.

Xu, Fuyi, Meng, Zhaowei (2009)

Advances in Difference Equations [electronic only]

The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE.

Kwong, Man Kam (2006)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Currently displaying 341 – 360 of 386

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Displaying 341 – 360 of 386

Singular $φ$ -Laplacian third-order BVPs with derivative dependance

Solution curves of $2 m$ -th order boundary-value problems.

Solutions for $m$ -point BVP with sign changing nonlinearity.

Solutions to second order non-homogeneous multi-point bvps using a fixed-point theorem.

Solvability for second-order m-point boundary value problems at resonance on the half-line.

Solvability for two classes of higher-order multi-point boundary value problems at resonance.

Some remarks on three-point and four-point bvp's for second-order nonlinear differential equations.

Stationary solutions of semilinear Schrödinger equations with trapping potentials in supercritical dimensions

Strong singularities in mixed boundary value problems

Successive iteration and positive solutions for nonlinear $m$ -point boundary value problems on time scales.

Symmetric positive solutions for nonlinear singular fourth-order eigenvalue problems with nonlocal boundary condition.

Systems of singular BVPs - existence of solutions and their properties

The existence and uniqueness of positive solutions for integral boundary value problems.

The existence of countably many positive solutions for nonlinear $n$ th-order three-point boundary value problems.

The existence of multiple positive solutions of $p$ -Laplacian boundary value problems

The existence of positive solution to a nonlinear fractional differential equation with integral boundary conditions.

The existence of positive solution to three-point singular boundary value problem of fractional differential equation.

The existence of positive solutions for nonlinear boundary system with $p$ -Laplacian operator based on sign-changing nonlinearities.

The existence of positive solutions for third-order $p$ -Laplacian $m$ -point boundary value problems with sign changing nonlinearity on time scales.

The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE.

Currently displaying 341 – 360 of 386