Results 81 to 90 of about 623 (125)
On Mitropol'skii Yu.A.'s Theorem on Periodic Solutions of Systems of Nonlinear Differential Equations with Non-Differentiable Right-Hand-Sides [PDF]
arXiv, 2008 The smooth second Bogolyubov's theorem is generalized for Lipschitz systems.
arxiv
Advanced Nonlinear StudiesWe 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
Open Mathematics, 2019 A Lotka-Volterra type predator-prey system with Allee effect on the predator species and density dependent birth rate on the prey species is proposed and studied.
Chen Fengde +3 more
doaj +1 more source
Positive periodic solutions of singular systems of first order ordinary differential equations [PDF]
arXiv, 2010 The existence and multiplicity of positive periodic solutions for first non-autonomous singular systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. The proof of our results is based on the Krasnoselskii fixed point theorem in a cone.
arxiv
Boundary value problems for integro-differential and singular higher-order differential equations
Open MathematicsWe 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
Infinitely many periodic solutions for ordinary p-Laplacian systems
Advances in Nonlinear Analysis, 2015 Some existence theorems are obtained for infinitely many periodic solutions of ordinary p-Laplacian systems by minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Tang Chun-Lei
doaj +1 more source
Nonlinear second order oscillators off resonance at certain functional spaces [PDF]
arXiv, 2011 We obtain existence and uniqueness for odd second order oscillators in the space of odd functions without topological assumptions on the nonlinear part.
arxiv
Open Mathematics, 2017 This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence ...
Lu Lin, Lian Yi, Li Chaoling
doaj +1 more source
Monotonicity of the period of a non linear oscillator [PDF]
arXiv, 2015 We revisit the problem of monotonicity of the period function for the differential equation $u"-u+u^p=0$ and give a simple proof of recent results of Miyamoto and Yagasaki.
arxiv
On Periodic Solutions to Some Lagrangian System With Two Degrees of Freedom [PDF]
arXiv, 2016 A Lagrangian system with two degrees of freedom is considered. The configuration space of the system is a cylinder. A large class of periodic solutions has been found. The solutions are not homotopy equivalent to each other.
arxiv