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Solvability of a fourth-order boundary value problem with periodic boundary conditions II [PDF]
Let f:[0,1]×R4→R be a function satisfying Caratheodory's conditions and e(x)∈L1[0,1]. This paper is concerned with the solvability of the fourth-order fully quasilinear boundary value problem d4udx4+f(x,u(x),u′(x),u″(x),u‴(x))=e(x ...
Chaitan P. Gupta
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A periodic boundary value problem with vanishing Green’s function
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Graef, John R. +2 more
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Fourth Order Impulsive Periodic Boundary Value Problems [PDF]
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Fialho, João, Minhós, Feliz
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Nonlinear Discrete Periodic Boundary Value Problems at Resonance [PDF]
Let \(T\in {\mathbb N}\) be an integer with \(T>2\), and \({\mathbb T}:=\{1,2,\dots,T\}\). The authors study the existence of solutions of nonlinear discrete problems \(\Delta ^{2}u(t-1)+\lambda _{k}a(t)u(t)+g(t,u(t))=h(t),\) \(t\in {\mathbb T},\) \(u(0)=u(T),\) \(u(1)=u(T+1),\) where \(a,\) \(h:{\mathbb T}\rightarrow {\mathbb R}\) with \(a>0 ...
Ruyun Ma, Huili Ma
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Solutions of periodic boundary value problems
The authors study the following resonant second-order boundary value problem \(u^{\prime \prime }=f\left( t,u,u^{\prime }\right)\) with periodic boundary conditions \(u\left( 0\right) =u\left(T\right)\), \(u^{\prime }\left( 0\right) =u^{\prime }\left( T\right)\). They modify the problem at resonance and consider an equivalent nonresonant boundary value
Aadith, R. +2 more
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Unique solution to periodic boundary value problems [PDF]
Existence of unique solution to periodic boundary value problems of differential equations with continuous or discontinuous right‐hand side is considered by utilizing the method of lower and upper solutions and the monotone properties of the operator. This is subject to discussion in the present paper.
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Periodic solutions of nonlinear boundary value problems [PDF]
ONE OF the well known techniques in the theory of nonlinear boundary value problems (BVP) is the method of differential inequalities or the method of upper and lower solutions. The method of “Alternative Problems”, a global variant of the Lyapunov-Schmidt method, has been used in the study of problems at resonance.
Kannan, R., Lakshmikantham, V.
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Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems [PDF]
We study the spectral behavior of higher order elliptic operators upon domain perturbation. We prove general spectral stability results for Dirichlet, Neumann and intermediate boundary conditions.
Arrieta, Jose' M. +1 more
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Anti-periodic fractional boundary value problems
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Ahmad, Bashir, Nieto, Juan J.
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Boundary value problems for periodic analytic functions [PDF]
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Dang, Pei, Du, Jinyuan, Qian, Tao
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