Results 21 to 30 of about 981 (105)
Periodic solution for ϕ-Laplacian neutral differential equation
Open Mathematics, 2019 This paper is devoted to the existence of a periodic solution for ϕ-Laplacian neutral differential equation as follows (ϕ(x(t)−cx(t−τ))′)′=f(t,x(t),x′(t)).$$\begin{array}{} (\phi(x(t)-cx(t-\tau))')'=f(t,x(t),x'(t)). \end{array}$$
Yao Shaowen, Cheng Zhibo
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Open Mathematics, 2020 This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
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Nonmonotone impulse effects in second‐order periodic boundary value problems
Abstract and Applied Analysis, Volume 2004, Issue 7, Page 577-590, 2004., 2004 We deal with the nonlinear impulsive periodic boundary value problem u″ = f(t, u, u′), u(ti+) = Ji(u(ti)), u′(ti+) = Mi(u′(ti)), i = 1, 2, …, m, u(0) = u(T), u′(0) = u′(T). We establish the existence results which rely on the presence of a well‐ordered pair (σ1, σ2) of lower/upper functions (σ1 ≤ σ2 on [0, T]) associated with the problem.
Irena Rachůnková, Milan Tvrdý
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Periodic solutions for nonautonomous differential equations and inclusions in tubes
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1057-1079, 2004., 2004 We study the existence of periodic trajectories for nonautonomous differential equations and inclusions remaining in a prescribed compact subset of an extended phase space. These sets of constraints are nonconvex right‐continuous tubes not satisfying the viability tangential condition on the whole boundary.
Grzegorz Gabor
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Periodic perturbations of Hamiltonian systems
Advances in Nonlinear Analysis, 2016 We prove existence and multiplicity results for periodic solutions of Hamiltonian systems, by the use of a higher dimensional version of the Poincaré–Birkhoff fixed point theorem.
Fonda Alessandro +2 more
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Open Mathematics, 2021 This paper provides a uniqueness result for positive solutions of the Neumann and periodic boundary value problems associated with the ϕ-Laplacian equation (ϕ(u′))′+a(t)g(u)=0,(\phi \left(u^{\prime} ))^{\prime} +a\left(t)g\left(u)=0, where ϕ is a ...
Boscaggin Alberto +2 more
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A min‐max theorem and its applications to nonconservative systems
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 17, Page 1101-1110, 2003., 2003 A nonvariational generation of a min‐max principle by A. Lazer is made. And it is used to prove a new existence results for a nonconservative systems of ordinary differential equations with resonance.
Li Weiguo, Li Hongjie
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Analysis of solutions for the fractional differential equation with Hadamard-type
Open Mathematics, 2023 We mainly consider the existence and stability results of the positive solutions for the fractional differential equation with Hadamard-type by applying fixed point theorems, if the nonlinearity may be continuous or singular.
Zhu Huijuan, Ru Yuanfang, Wang Fanglei
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Topological structure of solution sets of differential inclusions: the constrained case
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 325-351, 2003., 2003 We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so‐called regular and strictly regular ...
Wojciech Kryszewski
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Open Mathematics, 2023 This article deals with the existence, multiplicity, minimal complexity, and global structure of the subharmonic solutions to a class of planar Hamiltonian systems with periodic coefficients, being the classical predator-prey model of V.
López-Gómez Julián +2 more
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