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Existence of solutions for anti-periodic boundary value problems

Nonlinear Analysis: Theory, Methods & Applications, 2009
The article is concerned with the anti-periodic boundary value problem \[ x''+f(t,x)=0,\;\;0\leq t\leq T, \;\; x(0)+x(T)=0,\;\;x'(0)+x'(T)=0,\eqno(1) \] where \(f(t,x)\) is continuous in \((t,x)\). One of the results is the existence of at least one solution to (1) when for some \(\lambda>0\) we have \(| f(t,x)+\lambda x| \leq p(t)\psi (| x| )\) and \(\
Wang, Weibing, Shen, Jianhua
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Anti-periodic mild solutions to semilinear fractional differential equations

Journal of Applied Mathematics and Computing, 2014
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Liu, Jinghuai   +2 more
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Existence of Solutions for Fractional Anti-Periodic BVP

Results in Mathematics, 2015
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Existence of Anti-Periodic Solutions for Parabolic Hemivariational Inequality

AIP Conference Proceedings, 2009
In this paper we consider the problem of existence of anti‐periodic solutions for parabolic hemivariational inequality with a pseudomonotone operator. We first give the surjectivity result then prove a existence of anti‐periodic solutions for parabolic hemivariational inequality with the surjectivity result.
Jong Yeoul Park   +3 more
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Multiple anti-periodic solutions of implicit differential inclusions on tori

Journal of Differential Equations, 2021
The author proves the existence of multiple (at least \(2^{n}\)) anti-periodic (mod 1) solutions with anti-period \(\omega\) of the implicit differential inclusion \[ x^{\prime}\in\varphi\left( t,x,x^{\prime}\right) \] in \(\mathbb{R}^{n}\) subject to \(\varphi\left( t,x,y\right) =-\varphi\left(t+\omega,-x,-y\right) \) for all \(\left( t,x,y\right) \in\
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Mixed Equilibrium Problems and Anti-periodic Solutions for Nonlinear Evolution Equations

Journal of Optimization Theory and Applications, 2015
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Chadli, Ouayl   +2 more
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Multiple Anti-Periodic Solutions to a Discrete Fourth Order Nonlinear Equation

Differential Equations and Dynamical Systems, 2016
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Graef, John R.   +2 more
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On the Existence of Anti-periodic Solutions for Implicit Differential Equations

Acta Mathematica Hungarica, 2010
The authors consider an implicit nonlinear evolution equation \(\frac{d}{dt}(Bu)+Au+Gu=f\) in a Hilbert space \(V\), where \(B,A,G\) are operators from \(V\) to its dual space \(V'\), and \(B\) is supposed to be a linear bounded symmetric and positive operator while \(A+G\) is some perturbation of a monotone operator \(A\).
Liu, J., Liu, Z.
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Existence of anti-periodic solutions for hemivariational inequalities

Frontiers of Mathematics in China, 2018
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Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities

Nonlinear Analysis: Theory, Methods & Applications, 2001
The authors study the existence of generalized solutions to the antiperiodic boundary value problem \[ au_{t}(t,x)+Au(t,x)-bu(t,x)+f(u(t,x))\ni h(t,x),\quad u(0,x)=-u(T,x), \] with \(t\in [0,T]\), \(x\in\Omega\) (a finite measure space), \(A\) is a maximal monotone (possibly multivalued) operator in \(L^{2}(\Omega)\) and a subdifferential in \(L^{2 ...
Aizicovici, Sergiu   +2 more
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