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Upper and Lower Solutions for Higher Order Boundary Value Problems
This paper is concerned with the study of the higher order boundary value problem 8> >: u(t) = f(t; u(t); u(t); :::; u (t)); n 2; u(0) = 0; i = 0; :::; n 3; a u (0) b u (0) = A; c u (1) + d u (1) =Expand
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A discrete fourth-order Lidstone problem with parameters
Various existence, multiplicity, and nonexistence results for nontrivial solutions to a nonlinear discrete fourth-order Lidstone boundary value problem with dependence on two parameters are given,Expand
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Positive fixed points and fourth-order equations
This work presents sufficient conditions for the existence of at least one positive solution for a nonlinear fourth-order beam equation under Lidstone boundary conditions. The main tool used is aExpand
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Periodic solutions for a third order differential equation under conditions on the potential.
We prove an existence result to the nonlinear periodic problem { x + a x + g(x) + c x = p(t) , x(0) = x(2π) , x(0) = x(2π) , x(0) = x(2π) , where g : R 7→ R is continuous, p : [0, 2π] 7→ R belongs toExpand
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Existence result for a third-order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control
Abstract In this work we provide an existence and location result for the third-order nonlinear differential equation u ‴ ( t ) = f ( t , u ( t ) , u ′ ( t ) , u ″ ( t ) ) , where f : [ a , b ] × R 3Expand
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Nonlocal boundary value problems
In the last decades, nonlocal boundary value problems have become a rapidly growing area of research. The study of this type of problems is driven not only by a theoretical interest, but also by theExpand
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On some third order nonlinear boundary value problems
Abstract We prove an Ambrosetti–Prodi type result for the third order fully nonlinear equation u ‴ ( t ) + f ( t , u ( t ) , u ′ ( t ) , u ″ ( t ) ) = s p ( t ) with f : [ 0 , 1 ] × R 3 → R and p : [Expand
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Lower and upper solutions for a fully nonlinear beam equation
Abstract In this paper the two point fourth order boundary value problem is considered { u ( i v ) = f ( t , u , u ′ , u ″ , u ‴ ) , 0 t 1 , u ( 0 ) = u ′ ( 1 ) = u ″ ( 0 ) = u ‴ ( 1 ) = 0 , where fExpand
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Solvability of some third-order boundary value problems with asymmetric unbounded nonlinearities
Abstract In this paper, we present existence and location results for the third-order separated boundary value problems u ‴ ( t ) = f ( t , u ( t ) , u ′ ( t ) , u ″ ( t ) ) , with the boundaryExpand
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