Nonlinear boundary value problems
On some third order nonlinear boundary value problems: existence, location and multiplicity results
... The arguments used were suggested by several papers namely [4], applied to second order periodic problems [11], to third order three points boundary value problems [5–7], for two-point ...
12
New Trends on Nonlocal and Functional Boundary Value Problems
... of boundary value problems, the theory for fractional order BVP’s is still developing one and not satisfactorily ...several nonlinear boundary value problems of fractional ...
102
Fully nonlinear fourth order equations with functional boundary conditions
... The arguments make use of fixed point theory, lower and upper solutions method and some techniques suggested by [2, 4, 19] for second order and [1, 3] for third order nonlinear boundary value ...
16
Positive solutions of boundary value problems with nonlinear nonlocal boundary conditions
... The motivation of this present paper has come from a recent paper due to Anderson [1], who used the Leggett-Williams multiple fixed point theorem [8] to establish three positive solutions of the boundary ...
11
An algorithm for positive solution of boundary value problems of nonlinear fractional differential equations by Adomian decomposition method
... of boundary conditions for fractional differential equations can be found in the works of Xiaojie Xu [29], Sihualiang [15], De-Xiangma [16], Yige Zhao [31], Chengbo Zhai [30], Weihua Jiang [13], Muhammed Syam ...
13
Analysis and numerical approximation of singular boundary value problems
... singular boundary value problems and many different techniques have been used or developed in order to deal with three main questions: existence and uniqueness of solutions, behavior of the solution ...
150
Higher order functional boundary value problems without monotone assumptions
... Graef, J, Kong, L, Minhós, F, Fialho, J: On lower and upper solutions method for higher order functional boundary 21 value problems.. Mawhin, J: Topological Degree Methods in Nonlinear B[r] ...
11
Higher order boundary value problems with φ-Laplacian and functional boundary conditions
... We comment that the functional BC (1.2) is very general in nature. It not only covers many classical BCs, such as various linear two-point, multi-point, integral, and delay or advanced BCs studied by many authors, but it ...
15
Existence of three solutions for impulsive multi-point boundary value problems
... multi-point boundary value problems for ordinary differential equa- tions arise in different areas of applied mathematics and physics, especially in heat conduction [4, 5, 27, 29], the vibration of ...
27
Adomian decomposition method for nonlinear Sturm-Liouville problems
... different problems. For example in [6], [12], [15]-[20] boundary value problems, algebraic equations and partial dif- ferential equations are ...
10
Fourth order functional boundary value problems: Existence results and extremal solutions
... the boundary conditions covers many types of boundary value problems, such as integro-differential, with advances, delays, deviated ar- guments, nonlinear, Lidstone, multi-point, ...
20
Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives
... study boundary value problems associated to a nonlinear fractional ordi- nary differential equation involving left and right Caputo ...such problems and, in particular, give precise ...
16
Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions
... Fractional derivatives provide an excellent tool for the description of memory and hereditary properties of various materials and processes. These characteristics of the fractional derivatives make the fractional-order ...
22
Positivity and variational methods in second and fourth order boundary value problems
... a nonlinear term with rather general dependence on the nonlocal functional as in ...standard boundary value ...parabolic problems are already present in simple models as those we shall analyse ...
120
On lower and upper solutions method for higher order functional boundary value problems
... Since the relation between the lower and upper solutions depends on n, and their derivatives can be well ordered or in reversed order, this issue does not have the same relevance for n ≥ 3 as it does for first and second ...
14
The numerical solution of nonlinear two-point boundary value problems using iterated deferred correction - a survey
... singular problems where special attention has to be paid to the singular ...of boundary value problems with a singularity of the first ...some boundary value ...
19
On higher order fully periodic boundary value problems
... periodic boundary value problems have been studied by several authors in the last decades, using different types of arguments and techniques, as it can be seen in [ 1–3 ] for variational methods, in ...
11
Fourth order impulsive periodic boundary value problems
... Cabada, A., Minhós, F.: Fully nonlinear fourth-order equations with functional boundary conditions. Cabada, A., Minhós, F., Santos, A.: Solvability for a third order discontinuous fully [r] ...
11
Complementary Lidstone interpolation and boundary value problems
... It is well recognized that the method of upper and lower solutions, together with uniformly monotone convergent technique offers effective tools in proving and constructing multiple solutions of nonlinear ...
30
Initial value problems in linear integral operator equations
... We are interested in the integral transforms (8) in the framework of Hilbert spaces. Of course, we are interested in the characterization of the image functions, the consequent isometric identity like the Parseval ...
13