Existence results for impulsive systems with nonlocal conditions in Banach spaces.
Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions
This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.
Existence results for systems with nonlinear coupled nonlocal initial conditions
The purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first order differential systems subject to nonlinear nonlocal initial conditions of functional type. The approach uses vector-valued metrics and matrices convergent to zero. Two existence results are given by means of Schauder and Leray-Schauder fixed point principles and the existence and uniqueness of the solution is obtained via a fixed point theorem due to Perov. Two examples are...
Existence results of three-point boundary value problems for second-order ordinary differential equations.
Existence theorems for a certain nonlinear boundary value problem of the third order
Existence Theorems for a Fourth Order Boundary Value Problem
This paper treats the question of the existence of solutions of a fourth order boundary value problem having the following form: , 0 < t < 1, x(0) = x’(0) = 0, x”(1) = 0, . Boundary value problems of very similar type are also considered. It is assumed that f is a function from the space C([0,1]×ℝ²,ℝ). The main tool used in the proof is the Leray-Schauder nonlinear alternative.
Existence theorems for a second order -point boundary value problem at resonance.
Existence theorems for second order multi-point boundary value problems.
Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions
We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions. Several existence criteria depending on the nonlinearity involved in the problems are presented by means of a variety of tools of the fixed point theory. The applicability of the results is shown with the aid of examples. Our results are not only new in the given configuration...
Explicit solutions for boundary value problems related to the operator equations
Cauchy problem, boundary value problems with a boundary value condition and Sturm-Liouville problems related to the operator differential equation are studied for the general case, even when the algebraic equation is unsolvable. Explicit expressions for the solutions in terms of data problem are given and computable expressions of the solutions for the finite-dimensional case are made available.
Explicit Solutions of Two-Point Boundary Value Operator Problems.
Extension of Liapunov theory to five-point boundary value problems for third order differential equations.
First phases of the associated equation with parameters for the differential equation
Generalized differential equations in the space of regulated functions (boundary value problems and controllability)
Boundary value problems for generalized linear differential equations and the corresponding controllability problems are dealt with. The adjoint problems are introduced in such a way that the usual duality theorems are valid. As a special case the interface boundary value problems are included. In contrast to the earlier papers by the author the right-hand side of the generalized differential equations as well as the solutions of this equation can be in general regulated functions (not necessarily...
Generalized Green's functions for higher order boundary value matrix differential systems.
Generalized L-splines and the multi-point boundary value problem [Abstract of thesis]
Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions.
Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions.
Generalized two point boundary value problems. Existence and uniqueness.
Global behavior of the components for the second order -point boundary value problems.