Results 61 to 70 of about 125 (84)

Global structure of positive and sign-changing periodic solutions for the equations with Minkowski-curvature operator

open access: yesAdvanced Nonlinear Studies
We show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prime 2}}}\right ...
Ma Ruyun, Zhao Zhongzi, Su Xiaoxiao
doaj   +1 more source

Boundary value problems for integro-differential and singular higher-order differential equations

open access: yesOpen Mathematics
We investigate third-order strongly nonlinear differential equations of the type (Φ(k(t)u″(t)))′=f(t,u(t),u′(t),u″(t)),a.e. on[0,T],\left(\Phi \left(k\left(t){u}^{^{\prime\prime} }\left(t)))^{\prime} =f\left(t,u\left(t),u^{\prime} \left(t),{u}^{^{\prime ...
Anceschi Francesca   +3 more
doaj   +1 more source

Existence and multiplicity of positive solutions for multiparameter periodic systems

open access: yesOpen Mathematics
We deal with the existence and multiplicity of positive solutions for differential systems depending on two parameters, λ1,λ2{\lambda }_{1},{\lambda }_{2}, subjected to periodic boundary conditions.
Wei Liping, Dai Yongqiang, Su Shunchang
doaj   +1 more source

Non-homogeneous BVPs for second-order symmetric Hamiltonian systems

open access: yesOpen Mathematics
By making use of Bolle’s method, we show that the following problem has infinitely many solutions: x¨+V′(x)=0,x(0)cosα−x˙(0)sinα=x0,x(1)cosβ−x˙(1)sinβ=x1,\begin{array}{rcl}\ddot{x}+{V}^{^{\prime} }\left(x)& =& 0,\\ x\left(0)\cos \alpha -\dot{x}\left(0 ...
Chen Yingying, Dong Yujun, Wang Baiqian
doaj   +1 more source

Solvability of a boundary value problem at resonance. [PDF]

open access: yesSpringerplus, 2016
Guezane-Lakoud A   +2 more
europepmc   +1 more source

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