Second-Order Boundary Value Problems
Generalized quasilinearization method and higher order of convergence for second-order boundary value problems
... for second-order boundary value prob- lems has been extended when the forcing function is the sum of 2-hyperconvex and 2-hyperconcave ...the boundary value ...for ...
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Existence of Solutions of Second Order Boundary Value Problems with Integral Boundary Conditions and Singularities
... the second order boundary value problems with integral boundary conditions in which the nonlinearities ft, xt are allowed to have the singularities in t and are not Lebesgue ...
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Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions
... of boundary value problems with separated boundary ...the second order differential equation, and study nec- essary and sufficient conditions for the negative and positive ...
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Some new nonlinear second order boundary value problems on an arbitrary domain
... linear boundary value problems of differential ...of boundary value problems has developed into an important area of research over the years in view of their extensive ...
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A new family of high-order difference schemes for the solution of second order boundary value problems
... This type of problem occurs in many fields of science and engineering (see [6, 31, 32]). As pointed out in [32], usual numerical treatment of singular-perturbation problems gives major computational difficulties. ...
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The formulation of second order boundary value problems on time scales
... At first sight, (1.1)-(1.2) seems to be a reasonable formulation of a boundary value problem and, indeed, it has received considerable attention. However, in this paper, we show that for general time ...
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Nonlinear conservation laws for the Schrödinger boundary value problems of second order
... a second-order bound- ary value problem with respect to the Schrödinger equation, in this paper we consider the conservation laws for a second-order boundary value ...
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Solvability for second-order nonlocal boundary value problems with dim(kerM)=2
... A boundary value problem is called a resonance one if the corresponding homogeneous boundary value problem has a non-trivial ...Resonance problems can be expressed as an abstract ...
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Periodic boundary value problems for second order functional differential equations with impulse
... periodic boundary value problems for first and second order functional dif- ferential equations with impulse, the approaches used in [, –, –, –] are the monotone iterative ...
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On second order nonlinear boundary value problems and the distributional Henstock-Kurzweil integral
... of boundary value problems have been studied by many authors ...The boundary conditions model the behavior of a thermostat where the sensor measures the ...
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Boundary value problems for a coupled system of second order nonlinear difference equations
... Two consequences of the local minimum theorem were discussed in [] (see [], Sec- tion ). In this section, motivated by [], we state two consequences of Lemma . as follows. The first one is a two critical points ...
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Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems
... the second-order equation x f t, x , where f is a Carath´eodory function, by combining a new expression of Green’s function together with Dancer’s global bifurcation ...
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Antiperiodic Boundary Value Problems for Second-Order Impulsive Ordinary Differential Equations
... We consider a second-order ordinary differential equation with antiperiodic boundary conditions and impulses. By using Schaefer’s fixed-point theorem, some existence results are obtained. Copyright q ...
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Exact multiplicity of solutions for discrete second order Neumann boundary value problems
... to the Neumann boundary conditions u(0) = u(T) = 0. Under convex/concave conditions imposed on g, some results on the exact numbers of solutions and positive solutions are established based on the discussions to ...
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Fuzzy approximate solutions of second-order fuzzy linear boundary value problems
... modeling problems in science and engineering. Most of the practical problems require the solution of a fuzzy differential equation (FDE) which satisfies fuzzy initial or boundary conditions, therefore ...
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Singularly perturbed second order semilinear boundary value problems with interface conditions
... interface boundary value problems with discontinuous source ...of boundary functions and the lemma of lower-upper solutions we obtain the existence, asymptotic estimates, and uniqueness of the ...
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Boundary value problems for singular second order equations
... where is a strictly increasing homeomorphism and the nonnegative function k may vanish on a set of measure zero. By using the upper and lower solutions method, we prove existence results for the Dirichlet problem ...
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Singular second order multipoint dynamic boundary value problems with mixed derivatives
... [5] F. M. Atici and G. Sh. Guseinov, On Green’s functions and positive solutions for boundary value problems on time scales, Journal of Computational and Applied Mathematics 141 (2002), no. 1-2, ...
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Multi parameter second order impulsive indefinite boundary value problems
... Remark 4.2 Some ideas of dealing with parameters in Theorem 3.1 come from Theorems 2.1–2.4 in [51], but there are very few papers in the literature considering the multiplicity of positive solutions for ...
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On boundary value problems for second-order discrete inclusions
... to boundary value problems for systems of second-order discrete ...discrete second-order inclusions sat- isfy an a priori ...
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