Univerzitní knihovna OU - Úplné zobrazení záznamu

Introduction ...5 // Basic Notation ...7 // Chapter I. PROBLEMS ON A FINITE INTERVAL // § 1.1. Fredholmity of a General Linear Boundary // Value Problem. Green’s Formula ...11 // 1.1.1. Statement of the problem ...11 // 1.1.2. Theorem on the Fredholmity of problem (1.1.1), (1.1.2) ...13 // 1.1.3. Green’s formula...14 // 1.1.4. Notes ...17 // § 1.2. Theorems on Systems of Functional Differential // Inequalities... .18 // 1.2.1. The set Mp’"’*11 ...18 // 1.2.2. The general theorem on the validity of inclusion (1.2.8) .20 // 1.2.3. Auxiliary propositions...22 // 1.2.4. Effective conditions guaranteeing the validity of the inclusion // of (1.2.8) ...25 // 1.2.5. Notes ...32 // § 1.3. Existence and Uniqueness Theorems ...33 // 1.3.1. General linear system ...33 // 1.3.2. Linear system with a Volterra operator...42 // 1.3.3. Linear system with a deviating argument ...45 // 1.3.4. Linear system with a small parameter ...52 // 1.3.5. Notes ...56 // & // § 1.4. Well-posedness ...57 // 1.4.1. Problem (1.4.1), (1.4.2) ...57 // 1.4.2. Problem (1.4.3), (1.4.4) ...63 // 1.4.3. Notes ...69 // Chapter II. PROBLEMS ON THE REAL AXIS § 2.1. Periodic Solutions ...71 // 2.1.1. Existence and uniqueness ...71 // 2.1.2. An existence and uniqueness theorem for systems // with a small parameter...79 // 2.1.3. Continuous dependence of a solution on the right hand side // of the differential system ...80 // 2.1.4. Notes ...84 // § 2.2. Bounded Solutions ...85 // 2.2.1. Statement of the problems ...85 // 2.2.2. Lemmas on the existence of a bounded solution ...86 // 2.2.3. Problem (2.2.1), (2.2.4) ...89 // 2.2.4. Problem (2.2.1), (2.2.5) ...95 // 2.2.5. Notes ...97 // References ...99 // Author Index...105 // Subject Index ...107

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