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[PDF] Top 20 Higher order functional boundary value problems without monotone assumptions

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Higher order functional boundary value problems without monotone assumptions

Higher order functional boundary value problems without monotone assumptions

... Recently, functional boundary value problems have been studied by several authors fol- lowing several approaches, as it can be seen, for example, in ... See full document

11

A higher order method for nonlinear singular two point boundary value problems

A higher order method for nonlinear singular two point boundary value problems

... For the linear problem, Abu-Zaid and El-Gebeily [1] generalized the method in [3] to w(x) = p(x). Recently, El-Gebeily and Abu-Zaid [7] relaxed this requirement and several other assumptions, however, the ... See full document

13

Periodic boundary value problems for second order functional differential equations with impulse

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 ... See full document

12

Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems

Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems

... Choose αt −t, βt t and γ t t. It is easy to check that αt −t, and βt t are lower and upper solutions of BVP 3.66, 3.67 respectively, and all the assumptions in Theorem 3.2 are satisfied. Therefore by Theorem 3.2 ... See full document

16

Generalized quasilinearization method and higher order of convergence for second-order boundary value problems

Generalized quasilinearization method and higher order of convergence for second-order boundary value problems

... lower and upper solutions without proof due to monotony. Finally, we present two nu- merical applications of our theoretical results developed in our main result. We note that the monotone iterates may not ... See full document

15

Monotone and convex positive solutions for fourth-order multi-point boundary value problems

Monotone and convex positive solutions for fourth-order multi-point boundary value problems

... Boundary value problems for second and higher order nonlinear differential equations play a very important role in both theory and ...a boundary value problem of some ... See full document

12

Symmetric positive solutions of higher-order boundary value problems

Symmetric positive solutions of higher-order boundary value problems

... the assumptions and some preliminary lemmas. By applying the monotone iterative technique, we discuss the existence of symmetric positive solutions for ... See full document

8

Existence and Uniqueness of Solutions for Singular Higher Order Continuous and Discrete Boundary Value Problems

Existence and Uniqueness of Solutions for Singular Higher Order Continuous and Discrete Boundary Value Problems

... singular higher- order continuous boundary value problems by using mixed monotone method, for example, see 6, 14, ...crete boundary value ... See full document

11

Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms

Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms

... Here, by a positive solution y of (.), we mean a nontrivial y ∈ C (m) (, ) ∩ C (m–) [, ] sat- isfying (.), y is nonnegative on [, ] and is positive on some subinterval of [, ]. The first focus of this paper ... See full document

22

The Boundary Value Problems of Higher Order Mixed Type of Delay Differential Equations

The Boundary Value Problems of Higher Order Mixed Type of Delay Differential Equations

... concave functional on K, and φ be a non-negative continuous functional on K satisfying φ(λu) ≤ λφ(u) for 0 ≤ λ ≤ 1, such that for some positive numbers M and ... See full document

8

Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations

Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations

... Kiguradze, I, P˚ uža, B, Stavroulakis, IP: On singular boundary value problems for functional differential equations of higher order. Kiguradze, I, Šremr, J: Solvability conditions for no[r] ... See full document

9

Terminal value problem for singular ordinary differential equations: Theoretical analysis and numerical simulations of ground states

Terminal value problem for singular ordinary differential equations: Theoretical analysis and numerical simulations of ground states

... A singular boundary value problem (BVP) for a second-order nonlinear differential equa- tion is studied. This BVP is a model in hydrodynamics as well as in nonlinear field theory and especially in the ... See full document

28

On boundary value problems of higher order abstract fractional integro-differential equations

On boundary value problems of higher order abstract fractional integro-differential equations

... of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as fractional calculus, H¨ older inequality, ... See full document

20

Numerical solution of Solving Higher order Boundary Value Problems using Collocation Methods

Numerical solution of Solving Higher order Boundary Value Problems using Collocation Methods

... of Boundary value Problem can be find in real life situation ranging from Science to Engineering fields where problems they model include: spring problems, electrical circuit problem, buoyancy ... See full document

7

EXISTENCE OF POSITIVE SOLUTIONS FOR A COUPLED SYSTEM OF HIGHER ORDER FRACTIONAL BOUNDARY VALUE PROBLEMS

EXISTENCE OF POSITIVE SOLUTIONS FOR A COUPLED SYSTEM OF HIGHER ORDER FRACTIONAL BOUNDARY VALUE PROBLEMS

... fractional higher order two-point boundary value problems on a suitable cone in a Banach ...fractional order boundary value problem possess a positive ... See full document

11

Solvability for Two Classes of Higher-Order Multi-Point Boundary Value Problems at Resonance

Solvability for Two Classes of Higher-Order Multi-Point Boundary Value Problems at Resonance

... and boundary value problems for nonlinear differential equations,” in Topological Methods for Ordinary Differential Equations, ...Nonlinear Boundary Value Problems, ... See full document

14

Existence of Multiple Positive Solutions for Third Order Three Point Boundary Value Problem

Existence of Multiple Positive Solutions for Third Order Three Point Boundary Value Problem

... earliest boundary value problem studied is Dirichlet prob- ...equation. Boundary value problems are most common in physics, such as wave ...of boundary value ... See full document

10

Monotone iterative technique for nonlinear boundary value problems of fractional order \(p\in(2,3]\)

Monotone iterative technique for nonlinear boundary value problems of fractional order \(p\in(2,3]\)

... After establishing a comparison result of the nonlinear Riemann-Liouville fractional differential equation of order p ∈ (2, 3], we obtain the existence of maximal and minimal solutions, and the uniqueness result ... See full document

12

Existence Results for Higher Order Boundary Value Problems on Time Scales

Existence Results for Higher Order Boundary Value Problems on Time Scales

... By using the fixed-point index theorem, we consider the existence of positive solutions for the following nonlinear higher-order four-point singular boundary value problem on time scales u Δ n ... See full document

18

Computation of displacements for nonlinear elastic beam models using monotone iterations

Computation of displacements for nonlinear elastic beam models using monotone iterations

... We present computations, which suggest efficiency of monotone methods for fourth order boundary value problems... KEY WORDS AND PHRASES..[r] ... See full document

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