Differential Equations and Their SolutionsInverse problemsevolution equationsformulas for solutions and coefficientsfunctional equationsLet \\(w = ot \\upsilon '\\varphi - ot \\upsilon \\varphi ', \\lambda > 0, \\gamma > 0, p > 0, q > 0. \\)...
Quasi-solutions and their role in the qualitative theory of differential equations In the study of comparison theorems and extremal solutions for systems of ordinary differential equations [5], one usually imposes a condition on the right...
M.Braun Differential EquationsandTheir Applications AnIntroductionto AppliedMathematics Springer-VerlagNewYork•Heidelberg•Berlin 1975 cferTedinischenHochsdnub Darmstadt 190 TABLEOFCONTENTS Page CHAPTER1.FIRSTORDERDIFFERENTIALEQUATIONS 1.1.Introduction 1 1.2.Firstorderlineardifferentialequations 2 1.3.TheVan...
光滑性足够好的方程是否一定有解呢?这大抵是物理人的幻想,但也确实只是幻想——Lewy在1957年提出了下面这个反例: L=\partial_x+i\partial_y-2i(x+iy)\partial_t 本文主要参考了Lewy的论文和Folland的那本PDE第…
We prove that the generator g of a backward stochastic differential equation (BSDE) can be represented by the solutions of the corresponding BSDEs at point... Long,Jiang - 《Stochastic Processes & Their Applications》 被引量: 70发表: 2005年 Backward Stochastic Differential Equations and Their App...
The main themes include ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, and many more. Welcomes manuscripts on difference equations, and their applications in control theory, mathematical modeling, shell th...
This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope. ...
An Introduction to Differential Equations and Their Applications 2024 pdf epub mobi 电子书 图书描述 Starting with an introduction to differential equations, this insightful text then explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, systems of differential equation...
1. Existence and uniqueness of solutions 2. Dependence of solutions on initial values. 3. Derivation offormulas for solutions. 4. Numericalcalculation of solutions. 5. Graphical analysis of solutions. 6. Qualitative analysis of differential equations and their solutions. ...