[PDF] Top 20 On the Cauchy problem for singular functional differential equations
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On the Cauchy problem for singular functional differential equations
... other functional equa- tions are established in [, ...the Cauchy problem is considered in [–] for some classes of nonlinear singular functional differential ... See full document
14
Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations
... Theorem 2.1. Consider Cauchy problem (2.1), such that A is constant matrix. Then the solution of (2.1) is represented in the form of (2.4). Note that formula (2.4) in the classical case, i.e. when α = 1 ... See full document
10
The existence of solutions for a nonlinear mixed problem of singular fractional differential equations
... One of the most interesting branches is obtaining solutions of singular fractional differ- ential via boundary value problems. Having these things in mind, we study the existence of solutions for a singular ... See full document
12
Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations
... A singular Cauchy-Nicoletti problem for a system of nonlinear ordinary differential equations is ...this problem having the graph in a prescribed domain is ... See full document
20
On Cauchy problems for fuzzy differential equations
... integral equations, existence and uniqueness theorems for the solutions of fuzzy initial value problems, drew upon the interest of many researchers of the fuzzy ... See full document
7
On a boundary value problem for nonlinear functional differential equations
... There are many interesting results concerning the solvability of general boundary value problems for functional differential equations (see, e.g., [1, 2, 7, 9, 24, 25, 28, 29, 30, 31, 32, 37, 40, 42] and the ... See full document
26
The Cauchy type problem for interval valued fractional differential equations with the Riemann Liouville gH fractional derivative
... Fractional calculus can be regarded as a generalization of ordinary differentiation and in- tegration to any real or complex order. In the past few decades, the subject has gained considerable popularity and importance ... See full document
13
A survey of partial differential equations with piecewise continuous arguments
... Partial differential equations, piecewise constant delay, boundary value problem, initial value problem, abstract Cauchy problem, Hilbert space, loaded equation, wave equation.. 1991 AMS[r] ... See full document
20
The nonlinear Kneser problem for singular in phase variables second-order differential equations
... Kneser problem for second-order nonlinear differential equations, obtained until the beginning of s of the last century, are reflected in the monograph by Sansone ...Kneser problem for ... See full document
17
On the Cauchy problem for lower semicontinuous differential inclusions
... The importance of the theory of differential inclusions is well documented in the litera- ture. Indeed, they play a crucial role in the study of many dynamical problems coming from economics, social sciences, biology. ... See full document
10
On the initial value problem for a partial differential equation with operator coefficients
... Singular Integral Operators and Cauchy’s Problem for Some Partial Differential Equations With Operator Coefficients, Transaction of the Science Centre, Alexandria University Vol.. Lnear [r] ... See full document
9
Hölder Regularity for Abstract Fractional Cauchy Problems with Order in (0,1)
... fractional differential equations in many different respects: the connection between solutions of fractional Cauchy problems and Cauchy problems of first order [10]; the existence of solution ... See full document
10
The Modern Mathematics Master's Degree II: A Survey of U.S. Programs
... given differential equation by a piecewise ...neighboring problem whose exact solution is known. Solving the neighboring problem with the basic discretization scheme yields a global error ...stiff ... See full document
14
4. Existence Results for Solution of Fractional Differential Equations in Abstract Spaces
... fractional differential equations in Banach ...the Cauchy problem in reflexive Banach spaces equipped with weak topology, the author imposed weak-weak continuity assump- tion on f ...the ... See full document
17
A Cauchy-type problem with a sequential fractional derivative in the space of continuous functions
... In recent years there has been a considerable interest in the theory and applications of fractional differential equations. As for the theory, the investigations include the existence and uniqueness of ... See full document
14
A Cauchy Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications
... The main motivation for the work presented in this paper is to construct real hypersur- faces in C n+1 with maximal Levi number (see below for the definition), a problem that has been open since Levi numbers were ... See full document
29
Feynman Formulas Representation of Semigroups Generated by Parabolic Difference Differential Equations
... the Cauchy problem (1) can be defined only in terms of the spectral decomposition (in the simplest situation in terms of the Fourier transform of the solution), nevertheless we obtain an approximation of ... See full document
7
Singular Cauchy Initial Value Problem for Certain Classes of Integro Differential Equations
... The singular Cauchy problem for first-order differential and integro-differential equations resolved or unresolved with respect to the derivatives of unknowns is fairly well studied see, ...such ... See full document
13
On Singular Solutions of Linear Functional Differential Equations with Negative Coefficients
... R. Problem 1.1, 1.4 with h satisfying 1.3 is referred to as the singular Cauchy problem ...regular Cauchy problem if h is equal identically to a nonzero ...and singular ... See full document
16
Abstract differential inequalities and the Cauchy problem for infinite dimensional linear functional differential equations
... the Cauchy problem for general functional dif- ferential equations, the most powerful and e ffi cient one being based on the use of dif- ferential inequalities and developed most extensively for ... See full document
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